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31088438368 = 25133718111159
BaseRepresentation
bin11100111101000000…
…111110110001100000
32222020121101022010021
4130331000332301200
51002132120011433
622140513043224
72150254236361
oct347500766140
988217338107
1031088438368
1112203681979
126037556514
132c15a28480
14170cc17b68
15c1e47922d
hex73d03ec60

31088438368 has 96 divisors (see below), whose sum is σ = 68075017920. Its totient is φ = 13882337280.

The previous prime is 31088438357. The next prime is 31088438389. The reversal of 31088438368 is 86383488013.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2780373 + ... + 2791531.

It is an arithmetic number, because the mean of its divisors is an integer number (709114770).

Almost surely, 231088438368 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 31088438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037508960).

31088438368 is an abundant number, since it is smaller than the sum of its proper divisors (36986579552).

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

31088438368 is a wasteful number, since it uses less digits than its factorization.

31088438368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 31088438368 in words is "thirty-one billion, eighty-eight million, four hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 181 208 296 362 416 481 592 724 962 1184 1448 1924 2353 2896 3848 4706 5792 6697 7696 9412 11159 13394 15392 18824 22318 26788 37648 44636 53576 75296 87061 89272 107152 145067 174122 178544 214304 290134 348244 357088 412883 580268 696488 825766 1160536 1392976 1651532 2019779 2321072 2785952 3303064 4039558 4642144 5367479 6606128 8079116 10734958 13212256 16158232 21469916 26257127 32316464 42939832 52514254 64632928 74731823 85879664 105028508 149463646 171759328 210057016 298927292 420114032 597854584 840228064 971513699 1195709168 1943027398 2391418336 3886054796 7772109592 15544219184 31088438368