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12360145968 = 2433127225287
BaseRepresentation
bin10111000001011100…
…01101110000110000
31011220101210110202000
423200232031300300
5200303144132333
65402252454000
7615203335662
oct134056156060
934811713660
1012360145968
115272a86675
12248b47a300
13121c960b51
148537aa532
154c51b0713
hex2e0b8dc30

12360145968 has 80 divisors (see below), whose sum is σ = 35757711360. Its totient is φ = 4087589184.

The previous prime is 12360145939. The next prime is 12360146003. The reversal of 12360145968 is 86954106321.

12360145968 is a `hidden beast` number, since 12 + 36 + 0 + 14 + 596 + 8 = 666.

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, 57780 + ... + 167507.

It is an arithmetic number, because the mean of its divisors is an integer number (446971392).

Almost surely, 212360145968 is an apocalyptic number.

12360145968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12360145968 is an abundant number, since it is smaller than the sum of its proper divisors (23397565392).

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

12360145968 is a wasteful number, since it uses less digits than its factorization.

12360145968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225431 (or 225419 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12360145968 in words is "twelve billion, three hundred sixty million, one hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 27432 54864 225287 450574 675861 901148 1351722 1802296 2027583 2703444 3604592 4055166 5406888 6082749 8110332 10813776 12165498 16220664 24330996 28611449 32441328 48661992 57222898 85834347 97323984 114445796 171668694 228891592 257503041 343337388 457783184 515006082 686674776 772509123 1030012164 1373349552 1545018246 2060024328 3090036492 4120048656 6180072984 12360145968