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427696696724 = 2211229215314153
BaseRepresentation
bin1100011100101001011…
…01011010110110010100
31111212221220210100021012
412032110231122312110
524001410323243344
6524251532311352
742620502636653
oct6162455326624
91455856710235
10427696696724
111554266a9600
126aa82912558
133144077289b
14169b475d19a
15b1d31ec29e
hex6394b5ad94

427696696724 has 72 divisors (see below), whose sum is σ = 851521907880. Its totient is φ = 187603440640.

The previous prime is 427696696681. The next prime is 427696696769.

427696696724 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3463322500 + 424233374224 = 58850^2 + 651332^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30212432 + ... + 30226584.

It is an arithmetic number, because the mean of its divisors is an integer number (11826693165).

Almost surely, 2427696696724 is an apocalyptic number.

427696696724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427696696724 is a deficient number, since it is larger than the sum of its proper divisors (423825211156).

427696696724 is a wasteful number, since it uses less digits than its factorization.

427696696724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16361 (or 16348 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 68.

The spelling of 427696696724 in words is "four hundred twenty-seven billion, six hundred ninety-six million, six hundred ninety-six thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 29 44 58 116 121 242 319 484 638 1276 2153 3509 4306 7018 8612 14036 14153 23683 28306 47366 56612 62437 94732 124874 155683 249748 260513 311366 410437 521026 622732 686807 820874 1042052 1373614 1641748 1712513 2747228 3425026 4514807 6850052 7554877 9029614 15109754 18059228 30219508 30471409 49662877 60942818 99325754 121885636 198651508 335185499 670370998 883670861 1340741996 1767341722 3534683444 3687040489 7374080978 9720379471 14748161956 19440758942 38881517884 106924174181 213848348362 427696696724