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380792663056 = 24132118672
BaseRepresentation
bin1011000101010010000…
…00101110110000010000
31100101220002120120001001
411202221000232300100
522214330410204211
6450533404151344
736340253142061
oct5425100566020
91311802516031
10380792663056
11137547592913
1261972838554
1329ba7247c00
1414605296568
159d8a555ac1
hex58a902ec10

380792663056 has 45 divisors (see below), whose sum is σ = 798971460861. Its totient is φ = 175735649856.

The previous prime is 380792663011. The next prime is 380792663077. The reversal of 380792663056 is 650366297083.

The square root of 380792663056 is 617084.

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

It can be written as a sum of positive squares in only one way, i.e., 56330275600 + 324462387456 = 237340^2 + 569616^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 380792662988 and 380792663006.

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, 32082435 + ... + 32094301.

Almost surely, 2380792663056 is an apocalyptic number.

380792663056 is the 617084-th square number.

It is an amenable number.

380792663056 is an abundant number, since it is smaller than the sum of its proper divisors (418178797805).

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

380792663056 is an frugal number, since it uses more digits than its factorization.

380792663056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23768 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 380792663056 in words is "three hundred eighty billion, seven hundred ninety-two million, six hundred sixty-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 11867 23734 47468 94936 154271 189872 308542 617084 1234168 2005523 2468336 4011046 8022092 16044184 32088368 140825689 281651378 563302756 1126605512 1830733957 2253211024 3661467914 7322935828 14645871656 23799541441 29291743312 47599082882 95198165764 190396331528 380792663056