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379569352464 = 2432513412
BaseRepresentation
bin1011000011000000001…
…10001010111100010000
31100021201211200221101100
411201200012022330100
522204324223234324
6450212144304400
736265040155641
oct5414006127420
91307654627340
10379569352464
11136a7a005525
1261691012100
1329a409814a3
141452aa196c8
159d17e634c9
hex586018af10

379569352464 has 45 divisors (see below), whose sum is σ = 1062287698069. Its totient is φ = 126520653120.

The previous prime is 379569352457. The next prime is 379569352619. The reversal of 379569352464 is 464253965973.

The square root of 379569352464 is 616092.

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

379569352464 is a `hidden beast` number, since 3 + 7 + 9 + 569 + 3 + 5 + 2 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309238312464 + 70331040000 = 556092^2 + 265200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7367434 + ... + 7418774.

Almost surely, 2379569352464 is an apocalyptic number.

379569352464 is the 616092-nd square number.

It is an amenable number.

379569352464 is an abundant number, since it is smaller than the sum of its proper divisors (682718345605).

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

379569352464 is an frugal number, since it uses more digits than its factorization.

379569352464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102696 (or 51346 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 379569352464 in words is "three hundred seventy-nine billion, five hundred sixty-nine million, three hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 51341 102682 154023 205364 308046 410728 462069 616092 821456 924138 1232184 1848276 2464368 3696552 7393104 2635898281 5271796562 7907694843 10543593124 15815389686 21087186248 23723084529 31630779372 42174372496 47446169058 63261558744 94892338116 126523117488 189784676232 379569352464