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379481872441 = 72880032
BaseRepresentation
bin1011000010110101110…
…00011101100000111001
31100021111202002111100111
411201122320131200321
522204134324404231
6450155341304321
736262625460100
oct5413270354071
91307452074314
10379481872441
11136a34695491
12616678650a1
1329a28802569
141451d167037
159d104334b1
hex585ae1d839

379481872441 has 9 divisors (see below), whose sum is σ = 441443112741. Its totient is φ = 325266480252.

The previous prime is 379481872397. The next prime is 379481872477. The reversal of 379481872441 is 144278184973.

The square root of 379481872441 is 616021.

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

It is not a de Polignac number, because 379481872441 - 211 = 379481870393 is a prime.

It is a super-2 number, since 2×3794818724412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379481870441) 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 8 ways as a sum of consecutive naturals, for example, 4268146 + ... + 4356148.

It is an arithmetic number, because the mean of its divisors is an integer number (49049234749).

Almost surely, 2379481872441 is an apocalyptic number.

379481872441 is the 616021-st square number.

379481872441 is the 308011-st centered octagonal number.

It is an amenable number.

379481872441 is a deficient number, since it is larger than the sum of its proper divisors (61961240300).

379481872441 is an frugal number, since it uses more digits than its factorization.

379481872441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176020 (or 88010 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 58.

The spelling of 379481872441 in words is "three hundred seventy-nine billion, four hundred eighty-one million, eight hundred seventy-two thousand, four hundred forty-one".

Divisors: 1 7 49 88003 616021 4312147 7744528009 54211696063 379481872441