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109652559072 = 2537286327011
BaseRepresentation
bin110011000011111001…
…1010100010011100000
3101111000212122011000120
41212013303110103200
53244032023342242
6122212414520240
710631202242100
oct1460763242340
9344025564016
10109652559072
114255a013651
1219302506080
13a45652b764
145442dc1200
152cbb8671ec
hex1987cd44e0

109652559072 has 144 divisors (see below), whose sum is σ = 335232317952. Its totient is φ = 31291841280.

The previous prime is 109652559043. The next prime is 109652559073. The reversal of 109652559072 is 270955256901.

It is a happy number.

It is a super-2 number, since 2×1096525590722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109652559073) by changing a digit.

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, 4046047 + ... + 4073057.

It is an arithmetic number, because the mean of its divisors is an integer number (2328002208).

Almost surely, 2109652559072 is an apocalyptic number.

109652559072 is a gapful number since it is divisible by the number (12) 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 109652559072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616158976).

109652559072 is an abundant number, since it is smaller than the sum of its proper divisors (225579758880).

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

109652559072 is a wasteful number, since it uses less digits than its factorization.

109652559072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27901 (or 27886 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 109652559072 in words is "one hundred nine billion, six hundred fifty-two million, five hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 863 1176 1568 1726 2352 2589 3452 4704 5178 6041 6904 10356 12082 13808 18123 20712 24164 27011 27616 36246 41424 42287 48328 54022 72492 81033 82848 84574 96656 108044 126861 144984 162066 169148 189077 193312 216088 253722 289968 324132 338296 378154 432176 507444 567231 579936 648264 676592 756308 864352 1014888 1134462 1296528 1323539 1353184 1512616 2029776 2268924 2593056 2647078 3025232 3970617 4059552 4537848 5294156 6050464 7941234 9075696 10588312 15882468 18151392 21176624 23310493 31764936 42353248 46620986 63529872 69931479 93241972 127059744 139862958 163173451 186483944 279725916 326346902 372967888 489520353 559451832 652693804 745935776 979040706 1118903664 1142214157 1305387608 1958081412 2237807328 2284428314 2610775216 3426642471 3916162824 4568856628 5221550432 6853284942 7832325648 9137713256 13706569884 15664651296 18275426512 27413139768 36550853024 54826279536 109652559072