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48432900653472 = 253560761899687
BaseRepresentation
bin10110000001100101010011…
…10101101100000110100000
320100111010210010021011001210
423000302221311230012200
522322011040031402342
6251001433431430120
713126106266644426
oct1300625165540640
9210433703234053
1048432900653472
1114483306859605
125522754525340
132104283b0133a
14bd62446ab116
1558ecb6b7279c
hex2c0ca9d6c1a0

48432900653472 has 48 divisors (see below), whose sum is σ = 127136732248512. Its totient is φ = 16144253483520.

The previous prime is 48432900653447. The next prime is 48432900653531. The reversal of 48432900653472 is 27435600923484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53383213 + ... + 54282899.

It is an arithmetic number, because the mean of its divisors is an integer number (2648681921844).

Almost surely, 248432900653472 is an apocalyptic number.

It is an amenable number.

48432900653472 is an abundant number, since it is smaller than the sum of its proper divisors (78703831595040).

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

48432900653472 is a wasteful number, since it uses less digits than its factorization.

48432900653472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460461 (or 1460453 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 48432900653472 in words is "forty-eight trillion, four hundred thirty-two billion, nine hundred million, six hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 560761 899687 1121522 1682283 1799374 2243044 2699061 3364566 3598748 4486088 5398122 6729132 7197496 8972176 10796244 13458264 14394992 17944352 21592488 26916528 28789984 43184976 53833056 86369952 504509381807 1009018763614 1513528145421 2018037527228 3027056290842 4036075054456 6054112581684 8072150108912 12108225163368 16144300217824 24216450326736 48432900653472