Search a number
-
+
31978147860 = 22325732433649
BaseRepresentation
bin11101110010000010…
…111101000000010100
310001112121112020002200
4131302002331000110
51010442401212420
622405054404500
72211306525531
oct356202750024
9101477466080
1031978147860
111261a91587a
126245500730
13302815aca9
141795055d88
15c72621b90
hex7720bd014

31978147860 has 72 divisors (see below), whose sum is σ = 98329194600. Its totient is φ = 8410687488.

The previous prime is 31978147841. The next prime is 31978147871. The reversal of 31978147860 is 6874187913.

31978147860 is a `hidden beast` number, since 3 + 1 + 97 + 81 + 478 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14663272464 + 17314875396 = 121092^2 + 131586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31978147797 and 31978147806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203685 + ... + 1229964.

Almost surely, 231978147860 is an apocalyptic number.

31978147860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31978147860 is an abundant number, since it is smaller than the sum of its proper divisors (66351046740).

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

31978147860 is a wasteful number, since it uses less digits than its factorization.

31978147860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433737 (or 2433732 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 31978147860 in words is "thirty-one billion, nine hundred seventy-eight million, one hundred forty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 2433649 4867298 7300947 9734596 12168245 14601894 21902841 24336490 29203788 36504735 43805682 48672980 73009470 87611364 109514205 146018940 177656377 219028410 355312754 438056820 532969131 710625508 888281885 1065938262 1598907393 1776563770 2131876524 2664845655 3197814786 3553127540 5329691310 6395629572 7994536965 10659382620 15989073930 31978147860