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675151448976 = 2432684732
BaseRepresentation
bin10011101001100100010…
…10011000101110010000
32101112200110120012212100
421310302022120232100
542030202232331401
61234054342400400
766530611425234
oct11646212305620
92345613505770
10675151448976
1124036a434514
12aaa22a30100
134b88841c004
142496b1025c4
151286784db86
hex9d32298b90

675151448976 has 45 divisors (see below), whose sum is σ = 1889513941809. Its totient is φ = 225047196288.

The previous prime is 675151448971. The next prime is 675151448987. The reversal of 675151448976 is 679844151576.

The square root of 675151448976 is 821676.

It is a perfect power (a square), and thus also a powerful number.

675151448976 is a `hidden beast` number, since 6 + 7 + 5 + 1 + 514 + 48 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71385152400 + 603766296576 = 267180^2 + 777024^2 .

It is not an unprimeable number, because it can be changed into a prime (675151448971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 9825876 + ... + 9894348.

Almost surely, 2675151448976 is an apocalyptic number.

675151448976 is the 821676-th square number.

It is an amenable number.

675151448976 is an abundant number, since it is smaller than the sum of its proper divisors (1214362492833).

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

675151448976 is an frugal number, since it uses more digits than its factorization.

675151448976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136960 (or 68478 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 675151448976 in words is "six hundred seventy-five billion, one hundred fifty-one million, four hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 68473 136946 205419 273892 410838 547784 616257 821676 1095568 1232514 1643352 2465028 3286704 4930056 9860112 4688551729 9377103458 14065655187 18754206916 28131310374 37508413832 42196965561 56262620748 75016827664 84393931122 112525241496 168787862244 225050482992 337575724488 675151448976