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379931700996 = 223217260432
BaseRepresentation
bin1011000011101011011…
…00011010111100000100
31100022200002112011010100
411201311230122330010
522211100003412441
6450312130524100
736310030113441
oct5416554327404
91308602464110
10379931700996
111371455a4321
1261772436630
1329a9aa6c1c3
1414562bbc9c8
159d39b8acb6
hex5875b1af04

379931700996 has 81 divisors (see below), whose sum is σ = 1020367998741. Its totient is φ = 119174534784.

The previous prime is 379931700991. The next prime is 379931701003. The reversal of 379931700996 is 699007139973.

The square root of 379931700996 is 616386.

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

379931700996 is a `hidden beast` number, since 379 + 9 + 3 + 170 + 0 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295794576900 + 84137124096 = 543870^2 + 290064^2 .

It is not an unprimeable number, because it can be changed into a prime (379931700991) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 62868351 + ... + 62874393.

Almost surely, 2379931700996 is an apocalyptic number.

379931700996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

379931700996 is the 616386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379931700996

379931700996 is an abundant number, since it is smaller than the sum of its proper divisors (640436297745).

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

379931700996 is an equidigital number, since it uses as much as digits as its factorization.

379931700996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 17360406, while the sum is 63.

The spelling of 379931700996 in words is "three hundred seventy-nine billion, nine hundred thirty-one million, seven hundred thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 6043 10404 12086 18129 24172 36258 54387 72516 102731 108774 205462 217548 308193 410924 616386 924579 1232772 1746427 1849158 3492854 3698316 5239281 6985708 10478562 15717843 20957124 31435686 36517849 62871372 73035698 109553547 146071396 219107094 328660641 438214188 620803433 657321282 1241606866 1314642564 1862410299 2483213732 3724820598 5587230897 7449641196 10553658361 11174461794 21107316722 22348923588 31660975083 42214633444 63321950166 94982925249 126643900332 189965850498 379931700996