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31553515136 = 2711137921821
BaseRepresentation
bin11101011000101111…
…000110111010000000
310000110000111122111202
4131120233012322000
51004110144441021
622255005200332
72164632311333
oct353057067200
9100400448452
1031553515136
1112422155a40
1261472600a8
132c8b1a3720
1417548bc61a
15c4a1e4a0b
hex758bc6e80

31553515136 has 128 divisors (see below), whose sum is σ = 74788358400. Its totient is φ = 13071052800.

The previous prime is 31553515117. The next prime is 31553515177. The reversal of 31553515136 is 63151535513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 31553515136.

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, 1435106 + ... + 1456926.

It is an arithmetic number, because the mean of its divisors is an integer number (584284050).

Almost surely, 231553515136 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 31553515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394179200).

31553515136 is an abundant number, since it is smaller than the sum of its proper divisors (43234843264).

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

31553515136 is a wasteful number, since it uses less digits than its factorization.

31553515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938 (or 21926 counting only the distinct ones).

The product of its digits is 101250, while the sum is 38.

The spelling of 31553515136 in words is "thirty-one billion, five hundred fifty-three million, five hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 79 88 104 128 143 158 176 208 286 316 352 416 572 632 704 832 869 1027 1144 1264 1408 1664 1738 2054 2288 2528 3476 4108 4576 5056 6952 8216 9152 10112 11297 13904 16432 18304 21821 22594 27808 32864 43642 45188 55616 65728 87284 90376 111232 131456 174568 180752 240031 283673 349136 361504 480062 567346 698272 723008 960124 1134692 1396544 1446016 1723859 1920248 2269384 2793088 3120403 3447718 3840496 4538768 6240806 6895436 7680992 9077536 12481612 13790872 15361984 18155072 18962449 22410167 24963224 27581744 30723968 36310144 37924898 44820334 49926448 55163488 75849796 89640668 99852896 110326976 151699592 179281336 199705792 220653952 246511837 303399184 358562672 399411584 493023674 606798368 717125344 986047348 1213596736 1434250688 1972094696 2427193472 2868501376 3944189392 7888378784 15776757568 31553515136