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427317153025 = 52721929832
BaseRepresentation
bin1100011011111100001…
…01100100110100000001
31111211222110121112012011
412031332011210310001
524000121142344100
6524150133332521
742605213604400
oct6157605446401
91454873545164
10427317153025
11155251435824
126a997797141
13313acc44309
141697a1a1637
15b1aec29bba
hex637e164d01

427317153025 has 81 divisors (see below), whose sum is σ = 651194299971. Its totient is φ = 277313107680.

The previous prime is 427317153013. The next prime is 427317153037. The reversal of 427317153025 is 520351713724.

It is a happy number.

The square root of 427317153025 is 653695.

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

It is an interprime number because it is at equal distance from previous prime (427317153013) and next prime (427317153037).

It can be written as a sum of positive squares in only one way, i.e., 153834175089 + 273482977936 = 392217^2 + 522956^2 .

It is not a de Polignac number, because 427317153025 - 219 = 427316628737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 434706684 + ... + 434707666.

Almost surely, 2427317153025 is an apocalyptic number.

427317153025 is the 653695-th square number.

427317153025 is the 326848-th centered octagonal number.

It is an amenable number.

427317153025 is a deficient number, since it is larger than the sum of its proper divisors (223877146946).

427317153025 is an frugal number, since it uses more digits than its factorization.

427317153025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

Adding to 427317153025 its reverse (520351713724), we get a palindrome (947668866749).

The spelling of 427317153025 in words is "four hundred twenty-seven billion, three hundred seventeen million, one hundred fifty-three thousand, twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 983 1225 1805 2527 3325 4655 4915 6881 9025 12635 17689 18677 23275 24575 34405 48167 63175 88445 93385 130739 172025 240835 354863 442225 466925 653695 915173 966289 1204175 1774315 2484041 3268475 4575865 4831445 6764023 8871575 12420205 17388287 18359491 22879325 24157225 33820115 47348161 62101025 86941435 91797455 128516437 169100575 236740805 348830329 434707175 458987275 642582185 899615059 1183704025 1744151645 2441812303 3212910925 4498075295 8720758225 12209061515 17092686121 22490376475 61045307575 85463430605 427317153025