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514979899641 = 32172140712
BaseRepresentation
bin1110111111001110011…
…00011010100011111001
31211020020211112110102100
413133213030122203321
531414134323242031
61032324542254013
752130452631214
oct7374714324371
91736224473370
10514979899641
11189446800849
1283981887309
1339740779b0c
141acd48d477b
15d5e0cc6de6
hex77e731a8f9

514979899641 has 27 divisors (see below), whose sum is σ = 790246387983. Its totient is φ = 323101679040.

The previous prime is 514979899639. The next prime is 514979899649. The reversal of 514979899641 is 146998979415.

The square root of 514979899641 is 717621.

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

514979899641 is a `hidden beast` number, since 5 + 1 + 497 + 9 + 8 + 9 + 96 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400935908025 + 114043991616 = 633195^2 + 337704^2 .

It is not a de Polignac number, because 514979899641 - 21 = 514979899639 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 514979899641.

It is not an unprimeable number, because it can be changed into a prime (514979899649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36591636 + ... + 36605706.

Almost surely, 2514979899641 is an apocalyptic number.

514979899641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

514979899641 is the 717621-st square number.

514979899641 is the 358811-st centered octagonal number.

It is an amenable number.

514979899641 is a deficient number, since it is larger than the sum of its proper divisors (275266488342).

514979899641 is an frugal number, since it uses more digits than its factorization.

514979899641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28182 (or 14091 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 514979899641 in words is "five hundred fourteen billion, nine hundred seventy-nine million, eight hundred ninety-nine thousand, six hundred forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 14071 42213 126639 239207 717621 2152863 4066519 12199557 36598671 197993041 593979123 1781937369 3365881697 10097645091 30292935273 57219988849 171659966547 514979899641