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31686905440 = 2553117833583
BaseRepresentation
bin11101100000101011…
…111100111001100000
310000210022111120121101
4131200223330321200
51004343321433230
622320132204144
72201142152341
oct354053747140
9100708446541
1031686905440
1112490483063
126183a69654
132caca083b8
1417684c20c8
15c56c92aca
hex760afce60

31686905440 has 96 divisors (see below), whose sum is σ = 77340082176. Its totient is φ = 12255598080.

The previous prime is 31686905431. The next prime is 31686905447. The reversal of 31686905440 is 4450968613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31686905447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8841889 + ... + 8845471.

It is an arithmetic number, because the mean of its divisors is an integer number (805625856).

Almost surely, 231686905440 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 31686905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38670041088).

31686905440 is an abundant number, since it is smaller than the sum of its proper divisors (45653176736).

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

31686905440 is a wasteful number, since it uses less digits than its factorization.

31686905440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 31686905440 in words is "thirty-one billion, six hundred eighty-six million, nine hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 1783 2480 3566 3583 4960 7132 7166 8915 14264 14332 17830 17915 28528 28664 35660 35830 55273 57056 57328 71320 71660 110546 111073 114656 142640 143320 221092 222146 276365 285280 286640 442184 444292 552730 555365 573280 884368 888584 1105460 1110730 1768736 1777168 2210920 2221460 3554336 4421840 4442920 6388489 8843680 8885840 12776978 17771680 25553956 31942445 51107912 63884890 102215824 127769780 198043159 204431648 255539560 396086318 511079120 792172636 990215795 1022158240 1584345272 1980431590 3168690544 3960863180 6337381088 7921726360 15843452720 31686905440