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6106656150016 = 29171995338747
BaseRepresentation
bin101100011011101000100…
…0100100001001000000000
3210121210100100220100102121
41120313101010201020000
51300022412433300031
620553205322254024
71200122426554642
oct130672104411000
923553310810377
106106656150016
111a44900218584
12827616957314
13353b16b63636
141717c6c60892
15a8cac71a011
hex58dd1121200

6106656150016 has 160 divisors (see below), whose sum is σ = 13613688221760. Its totient is φ = 2719545163776.

The previous prime is 6106656149981. The next prime is 6106656150043. The reversal of 6106656150016 is 6100516566016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157583955 + ... + 157622701.

It is an arithmetic number, because the mean of its divisors is an integer number (85085551386).

Almost surely, 26106656150016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106656150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806844110880).

6106656150016 is an abundant number, since it is smaller than the sum of its proper divisors (7507032071744).

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

6106656150016 is a wasteful number, since it uses less digits than its factorization.

6106656150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39754 (or 39738 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 6106656150016 in words is "six trillion, one hundred six billion, six hundred fifty-six million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 608 646 953 1088 1216 1292 1906 2176 2432 2584 3812 4352 4864 5168 7624 8704 9728 10336 15248 16201 18107 20672 30496 32402 36214 38747 41344 60992 64804 72428 77494 82688 121984 129608 144856 154988 165376 243968 259216 289712 307819 309976 487936 518432 579424 615638 619952 658699 736193 1036864 1158848 1231276 1239904 1317398 1472386 2073728 2317696 2462552 2479808 2634796 2944772 4147456 4635392 4925104 4959616 5269592 5889544 8294912 9270784 9850208 9919232 10539184 11779088 12515281 19700416 19838464 21078368 23558176 25030562 36925891 39400832 42156736 47116352 50061124 73851782 78801664 84313472 94232704 100122248 147703564 157603328 168626944 188465408 200244496 295407128 337253888 376930816 400488992 590814256 627740147 701591929 800977984 1181628512 1255480294 1403183858 1601955968 2363257024 2510960588 2806367716 3203911936 4726514048 5021921176 5612735432 6407823872 9453028096 10043842352 11225470864 11927062793 18906056192 20087684704 22450941728 23854125586 40175369408 44901883456 47708251172 80350738816 89803766912 95416502344 160701477632 179607533824 190833004688 321402955264 359215067648 381666009376 763332018752 1526664037504 3053328075008 6106656150016