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31824400980 = 22353117109893
BaseRepresentation
bin11101101000111000…
…011101001001010100
310001010220020002000210
4131220320131021110
51010134021312410
622341523205420
72204431642101
oct355070351124
9101126202023
1031824400980
1112551054539
126201b16870
1330023497c8
14177c873aa8
15c63da2220
hex768e1d254

31824400980 has 48 divisors (see below), whose sum is σ = 91982790144. Its totient is φ = 8212748160.

The previous prime is 31824400969. The next prime is 31824400997. The reversal of 31824400980 is 8900442813.

It is a congruent number.

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, 8553087 + ... + 8556806.

It is an arithmetic number, because the mean of its divisors is an integer number (1916308128).

Almost surely, 231824400980 is an apocalyptic number.

31824400980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31824400980 is an abundant number, since it is smaller than the sum of its proper divisors (60158389164).

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

31824400980 is a wasteful number, since it uses less digits than its factorization.

31824400980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17109936 (or 17109934 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 31824400980 in words is "thirty-one billion, eight hundred twenty-four million, four hundred thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 17109893 34219786 51329679 68439572 85549465 102659358 171098930 205318716 256648395 342197860 513296790 530406683 1026593580 1060813366 1591220049 2121626732 2652033415 3182440098 5304066830 6364880196 7956100245 10608133660 15912200490 31824400980