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476681157241 = 17423892
BaseRepresentation
bin1101110111111000110…
…10010011101001111001
31200120101201200202121121
412323330122103221321
530302220334012431
61002552335305241
746303413661132
oct6737432235171
91616351622547
10476681157241
111741830a4823
127847367b221
1335c48cc4373
1419100258c89
15c5ed841611
hex6efc693a79

476681157241 has 15 divisors (see below), whose sum is σ = 506685463851. Its totient is φ = 448453294656.

The previous prime is 476681157193. The next prime is 476681157263. The reversal of 476681157241 is 142751186674.

The square root of 476681157241 is 690421.

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

It can be written as a sum of positive squares in 7 ways, for example, as 102797825641 + 373883331600 = 320621^2 + 611460^2 .

It is not a de Polignac number, because 476681157241 - 215 = 476681124473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (476681157041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 199530475 + ... + 199532863.

Almost surely, 2476681157241 is an apocalyptic number.

476681157241 is the 690421-st square number.

476681157241 is the 345211-st centered octagonal number.

It is an amenable number.

476681157241 is a deficient number, since it is larger than the sum of its proper divisors (30004306610).

476681157241 is an frugal number, since it uses more digits than its factorization.

476681157241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 2406 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The spelling of 476681157241 in words is "four hundred seventy-six billion, six hundred eighty-one million, one hundred fifty-seven thousand, two hundred forty-one".

Divisors: 1 17 289 2389 4913 40613 83521 690421 5707321 11737157 97024457 199531669 1649415769 28040068073 476681157241