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108474191343648 = 253213244111869237
BaseRepresentation
bin11000101010100000011101…
…101001000111000000100000
3112020002000211220101001121100
4120222200131221013000200
5103204220120440444043
61022412204444554400
731564000404111114
oct3052403551070040
9466060756331540
10108474191343648
1131621712108349
12101bb037252a00
13486b0c2c5a680
141cb0270b8b744
15c819e16adcd3
hex62a81da47020

108474191343648 has 144 divisors (see below), whose sum is σ = 332338331661336. Its totient is φ = 33362998087680.

The previous prime is 108474191343613. The next prime is 108474191343667. The reversal of 108474191343648 is 846343191474801.

It is a happy number.

108474191343648 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 7 + 4 + 191 + 3 + 436 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28296995138064 + 80177196205584 = 5319492^2 + 8954172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3204486 + ... + 15073722.

Almost surely, 2108474191343648 is an apocalyptic number.

108474191343648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108474191343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166169165830668).

108474191343648 is an abundant number, since it is smaller than the sum of its proper divisors (223864140317688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108474191343648 is a wasteful number, since it uses less digits than its factorization.

108474191343648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871707 (or 11871696 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 108474191343648 in words is "one hundred eight trillion, four hundred seventy-four billion, one hundred ninety-one million, three hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 2441 3744 4882 7323 9764 14646 19528 21969 29292 31733 39056 43938 58584 63466 78112 87876 95199 117168 126932 175752 190398 234336 253864 285597 351504 380796 507728 571194 703008 761592 1015456 1142388 1523184 2284776 3046368 4569552 9139104 11869237 23738474 35607711 47476948 71215422 94953896 106823133 142430844 154300081 189907792 213646266 284861688 308600162 379815584 427292532 462900243 569723376 617200324 854585064 925800486 1139446752 1234400648 1388700729 1709170128 1851600972 2468801296 2777401458 3418340256 3703201944 4937602592 5554802916 7406403888 11109605832 14812807776 22219211664 28972807517 44438423328 57945615034 86918422551 115891230068 173836845102 231782460136 260755267653 347673690204 376646497721 463564920272 521510535306 695347380408 753292995442 927129840544 1043021070612 1129939493163 1390694760816 1506585990884 2086042141224 2259878986326 2781389521632 3013171981768 3389818479489 4172084282448 4519757972652 6026343963536 6779636958978 8344168564896 9039515945304 12052687927072 13559273917956 18079031890608 27118547835912 36158063781216 54237095671824 108474191343648