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109861222272 = 273833446951
BaseRepresentation
bin110011001010000111…
…1010011011110000000
3101111120102021100010020
41212110033103132000
53244443433103042
6122245231133440
710636314660444
oct1462417233600
9344512240106
10109861222272
114265688337a
1219360374280
13a48a829cc9
1454629ba824
152cced333ec
hex19943d3780

109861222272 has 64 divisors (see below), whose sum is σ = 295334847360. Its totient is φ = 36179187200.

The previous prime is 109861222249. The next prime is 109861222277. The reversal of 109861222272 is 272222168901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109861222277) 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 7 ways as a sum of consecutive naturals, for example, 1691604 + ... + 1755347.

It is an arithmetic number, because the mean of its divisors is an integer number (4614606990).

Almost surely, 2109861222272 is an apocalyptic number.

109861222272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109861222272 is an abundant number, since it is smaller than the sum of its proper divisors (185473625088).

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

109861222272 is an equidigital number, since it uses as much as digits as its factorization.

109861222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447051 (or 3447039 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 109861222272 in words is "one hundred nine billion, eight hundred sixty-one million, two hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 10624 15936 31872 3446951 6893902 10340853 13787804 20681706 27575608 41363412 55151216 82726824 110302432 165453648 220604864 286096933 330907296 441209728 572193866 661814592 858290799 1144387732 1323629184 1716581598 2288775464 3433163196 4577550928 6866326392 9155101856 13732652784 18310203712 27465305568 36620407424 54930611136 109861222272