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31161636441 = 361315432131
BaseRepresentation
bin11101000001011000…
…001101011001011001
32222102201010011000000
4131001120031121121
51002304334331231
622152050003213
72152133353005
oct350130153131
988381104000
1031161636441
1112240a27751
126057b76509
132c27c46840
14171882d705
15c25ad76e6
hex74160d659

31161636441 has 56 divisors (see below), whose sum is σ = 50371246016. Its totient is φ = 19154970720.

The previous prime is 31161636437. The next prime is 31161636461. The reversal of 31161636441 is 14463616113.

31161636441 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 1 + 6 + 3 + 644 + 1 = 666.

It is not a de Polignac number, because 31161636441 - 22 = 31161636437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31161636396 and 31161636405.

It is not an unprimeable number, because it can be changed into a prime (31161636421) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14621946 + ... + 14624076.

It is an arithmetic number, because the mean of its divisors is an integer number (899486536).

Almost surely, 231161636441 is an apocalyptic number.

It is an amenable number.

31161636441 is a deficient number, since it is larger than the sum of its proper divisors (19209609575).

31161636441 is a wasteful number, since it uses less digits than its factorization.

31161636441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3690 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 31161636441 in words is "thirty-one billion, one hundred sixty-one million, six hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 1543 2131 3159 4629 6393 9477 13887 19179 20059 27703 41661 57537 60177 83109 124983 172611 180531 249327 374949 517833 541593 747981 1124847 1553499 1624779 2243943 3288133 4874337 6731829 9864399 14623011 20195487 29593197 42745729 88779591 128237187 266338773 384711561 799016319 1154134683 2397048957 3462404049 10387212147 31161636441