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31930473480 = 233510716714891
BaseRepresentation
bin11101101111001101…
…000101110000001000
310001102021211010010220
4131233031011300020
51010343200122410
622400232510040
72210160355263
oct355715056010
9101367733126
1031930473480
11125a5a13364
12623154b320
13301b3082b9
14178c9a5cda
15c6d356070
hex76f345c08

31930473480 has 128 divisors (see below), whose sum is σ = 97272161280. Its totient is φ = 8384142080.

The previous prime is 31930473467. The next prime is 31930473569. The reversal of 31930473480 is 8437403913.

It is a Cunningham number, because it is equal to 1786912-1.

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 31 ways as a sum of consecutive naturals, for example, 2136835 + ... + 2151725.

It is an arithmetic number, because the mean of its divisors is an integer number (759938760).

Almost surely, 231930473480 is an apocalyptic number.

31930473480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31930473480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48636080640).

31930473480 is an abundant number, since it is smaller than the sum of its proper divisors (65341687800).

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

31930473480 is a wasteful number, since it uses less digits than its factorization.

31930473480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15179 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 31930473480 in words is "thirty-one billion, nine hundred thirty million, four hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 167 214 321 334 428 501 535 642 668 835 856 1002 1070 1284 1336 1605 1670 2004 2140 2505 2568 3210 3340 4008 4280 5010 6420 6680 10020 12840 14891 17869 20040 29782 35738 44673 53607 59564 71476 74455 89345 89346 107214 119128 142952 148910 178690 178692 214428 223365 268035 297820 357380 357384 428856 446730 536070 595640 714760 893460 1072140 1593337 1786920 2144280 2486797 3186674 4780011 4973594 6373348 7460391 7966685 9560022 9947188 12433985 12746696 14920782 15933370 19120044 19894376 23900055 24867970 29841564 31866740 37301955 38240088 47800110 49735940 59683128 63733480 74603910 95600220 99471880 149207820 191200440 266087279 298415640 532174558 798261837 1064349116 1330436395 1596523674 2128698232 2660872790 3193047348 3991309185 5321745580 6386094696 7982618370 10643491160 15965236740 31930473480