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31299946452 = 2235314572273
BaseRepresentation
bin11101001001100111…
…110100011111010100
32222210100101000200000
4131021213310133110
51003100241241302
622213510251300
72155433104125
oct351147643724
988710330600
1031299946452
1112302005045
126096356b30
132c4a7b1898
14172cd5404c
15c32d0831c
hex7499f47d4

31299946452 has 144 divisors (see below), whose sum is σ = 84919091712. Its totient is φ = 10070231040.

The previous prime is 31299946411. The next prime is 31299946493. The reversal of 31299946452 is 25464999213.

31299946452 is a `hidden beast` number, since 3 + 12 + 99 + 94 + 6 + 452 = 666.

It is an interprime number because it is at equal distance from previous prime (31299946411) and next prime (31299946493).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13769188 + ... + 13771460.

Almost surely, 231299946452 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 31299946452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42459545856).

31299946452 is an abundant number, since it is smaller than the sum of its proper divisors (53619145260).

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

31299946452 is a wasteful number, since it uses less digits than its factorization.

31299946452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2766 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 31299946452 in words is "thirty-one billion, two hundred ninety-nine million, nine hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 457 486 558 837 914 972 1116 1371 1674 1828 2273 2511 2742 3348 4113 4546 5022 5484 6819 7533 8226 9092 10044 12339 13638 14167 15066 16452 20457 24678 27276 28334 30132 37017 40914 42501 49356 56668 61371 70463 74034 81828 85002 111051 122742 127503 140926 148068 170004 184113 211389 222102 245484 255006 281852 368226 382509 422778 444204 510012 552339 634167 736452 765018 845556 1038761 1104678 1147527 1268334 1530036 1902501 2077522 2209356 2295054 2536668 3116283 3442581 3805002 4155044 4590108 5707503 6232566 6885162 7610004 9348849 11415006 12465132 13770324 17122509 18697698 22830012 28046547 32201591 34245018 37395396 56093094 64403182 68490036 84139641 96604773 112186188 128806364 168279282 193209546 252418923 289814319 336558564 386419092 504837846 579628638 869442957 1009675692 1159257276 1738885914 2608328871 3477771828 5216657742 7824986613 10433315484 15649973226 31299946452