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31005836472 = 2331328818677
BaseRepresentation
bin11100111000000101…
…111000010010111000
32222000211221200121210
4130320011320102320
51001444443231342
622124402403120
72145232155462
oct347005702270
988024850553
1031005836472
1112170a93946
1260139604a0
132c01896a00
141701c75132
15c170ae79c
hex7381784b8

31005836472 has 96 divisors (see below), whose sum is σ = 84040876080. Its totient is φ = 9528330240.

The previous prime is 31005836453. The next prime is 31005836473. The reversal of 31005836472 is 27463850013.

It is a super-2 number, since 2×310058364722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 31005836472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31005836473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3568998 + ... + 3577674.

Almost surely, 231005836472 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 31005836472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42020438040).

31005836472 is an abundant number, since it is smaller than the sum of its proper divisors (53035039608).

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

31005836472 is a wasteful number, since it uses less digits than its factorization.

31005836472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 31005836472 in words is "thirty-one billion, five million, eight hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 881 1014 1352 1762 2028 2643 3524 4056 5286 7048 8677 10572 11453 17354 21144 22906 26031 34359 34708 45812 52062 68718 69416 91624 104124 112801 137436 148889 208248 225602 274872 297778 338403 446667 451204 595556 676806 893334 902408 1191112 1353612 1466413 1786668 2707224 2932826 3573336 4399239 5865652 7644437 8798478 11731304 15288874 17596956 22933311 30577748 35193912 45866622 61155496 91733244 99377681 183466488 198755362 298133043 397510724 596266086 795021448 1192532172 1291909853 2385064344 2583819706 3875729559 5167639412 7751459118 10335278824 15502918236 31005836472