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12461103984 = 243747789077
BaseRepresentation
bin10111001101011110…
…10101101101110000
31012011102202200002210
423212233111231300
5201010020311414
65420300412120
7620540431140
oct134657255560
935142680083
1012461103984
115314a7194a
1224b9247040
13123784b714
14862d6a920
154cdea3e59
hex2e6bd5b70

12461103984 has 80 divisors (see below), whose sum is σ = 37572738048. Its totient is φ = 3484559616.

The previous prime is 12461103971. The next prime is 12461104003. The reversal of 12461103984 is 48930116421.

It is a super-2 number, since 2×124611039842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378747 + ... + 410330.

Almost surely, 212461103984 is an apocalyptic number.

12461103984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12461103984 is an abundant number, since it is smaller than the sum of its proper divisors (25111634064).

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

12461103984 is a wasteful number, since it uses less digits than its factorization.

12461103984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789142 (or 789136 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12461103984 in words is "twelve billion, four hundred sixty-one million, one hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 15792 789077 1578154 2367231 3156308 4734462 5523539 6312616 9468924 11047078 12625232 16570617 18937848 22094156 33141234 37086619 37875696 44188312 66282468 74173238 88376624 111259857 132564936 148346476 222519714 259606333 265129872 296692952 445039428 519212666 593385904 778818999 890078856 1038425332 1557637998 1780157712 2076850664 3115275996 4153701328 6230551992 12461103984