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109896689968 = 24132436714107
BaseRepresentation
bin110011001011001011…
…0100110100100110000
3101111122220000021122121
41212112112212210300
53300032023034333
6122252535244024
710640225311012
oct1462626464460
9344586007577
10109896689968
11426748a881a
1219370219614
13a494c97900
1454675b01b2
152cd2edc32d
hex19965a6930

109896689968 has 120 divisors (see below), whose sum is σ = 239463774528. Its totient is φ = 48799086336.

The previous prime is 109896689963. The next prime is 109896690037. The reversal of 109896689968 is 869986698901.

It is not an unprimeable number, because it can be changed into a prime (109896689963) 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, 7783171 + ... + 7797277.

Almost surely, 2109896689968 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 109896689968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119731887264).

109896689968 is an abundant number, since it is smaller than the sum of its proper divisors (129567084560).

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

109896689968 is a wasteful number, since it uses less digits than its factorization.

109896689968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251 (or 14232 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 79.

The spelling of 109896689968 in words is "one hundred nine billion, eight hundred ninety-six million, six hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 43 52 67 86 104 134 169 172 208 268 338 344 536 559 676 688 871 1072 1118 1352 1742 2236 2704 2881 3484 4472 5762 6968 7267 8944 11323 11524 13936 14107 14534 22646 23048 28214 29068 37453 45292 46096 56428 58136 74906 90584 112856 116272 149812 181168 183391 225712 299624 366782 486889 599248 606601 733564 945169 973778 1213202 1467128 1890338 1947556 2384083 2426404 2934256 3780676 3895112 4768166 4852808 7561352 7790224 7885813 9536332 9705616 12287197 15122704 15771626 19072664 24574394 31543252 38145328 40642267 49148788 63086504 81284534 98297576 102515569 126173008 159733561 162569068 196595152 205031138 319467122 325138136 410062276 528349471 638934244 650276272 820124552 1056698942 1277868488 1640249104 2113397884 2555736976 4226795768 6868543123 8453591536 13737086246 27474172492 54948344984 109896689968