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312500000032 = 25118231078717
BaseRepresentation
bin1001000110000100111…
…00111001010100100000
31002212121122212211012021
410203002130321110200
520110000000000112
6355321023311224
731402020113203
oct4430234712440
91085548784167
10312500000032
11110592115340
125069374b514
132361274852c
14111a731593a
1581dec97907
hex48c2739520

312500000032 has 48 divisors (see below), whose sum is σ = 671980905792. Its totient is φ = 141872728320.

The previous prime is 312500000027. The next prime is 312500000047. The reversal of 312500000032 is 230000005213.

It is a sliding number, since 312500000032 = 32 + 312500000000 and 1/32 + 1/312500000000 = 0.0312500000032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312499999961 and 312500000015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249663 + ... + 829054.

It is an arithmetic number, because the mean of its divisors is an integer number (13999602204).

Almost surely, 2312500000032 is an apocalyptic number.

312500000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312500000032 is an abundant number, since it is smaller than the sum of its proper divisors (359480905760).

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

312500000032 is a wasteful number, since it uses less digits than its factorization.

312500000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079561 (or 1079553 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 312500000032 its reverse (230000005213), we get a palindrome (542500005245).

It can be divided in two parts, 3125000000 and 32, that multiplied together give a 11-th power (100000000000 = 1011).

The spelling of 312500000032 in words is "three hundred twelve billion, five hundred million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 823 1646 3292 6584 9053 13168 18106 26336 36212 72424 144848 289696 1078717 2157434 4314868 8629736 11865887 17259472 23731774 34518944 47463548 94927096 189854192 379708384 887784091 1775568182 3551136364 7102272728 9765625001 14204545456 19531250002 28409090912 39062500004 78125000008 156250000016 312500000032