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464094750025 = 521927121012
BaseRepresentation
bin1101100000011100011…
…00111110010101001001
31122100220120011000210101
412300032030332111021
530100431224000100
6553111401045401
745346462200304
oct6601614762511
91570816130711
10464094750025
11169904429795
1275b40486861
13349c1512c2a
14186687d1b3b
15c11388a86a
hex6c0e33e549

464094750025 has 81 divisors (see below), whose sum is σ = 622194491829. Its totient is φ = 343347480000.

The previous prime is 464094750013. The next prime is 464094750029. The reversal of 464094750025 is 520057490464.

The square root of 464094750025 is 681245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 85692609289 + 378402140736 = 292733^2 + 615144^2 .

It is not a de Polignac number, because 464094750025 - 27 = 464094749897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464094750029) 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 80 ways as a sum of consecutive naturals, for example, 4594997475 + ... + 4594997575.

Almost surely, 2464094750025 is an apocalyptic number.

464094750025 is the 681245-th square number.

464094750025 is the 340623-rd centered octagonal number.

It is an amenable number.

464094750025 is a deficient number, since it is larger than the sum of its proper divisors (158099741804).

464094750025 is an equidigital number, since it uses as much as digits as its factorization.

464094750025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 464094750025 in words is "four hundred sixty-four billion, ninety-four million, seven hundred fifty thousand, twenty-five".

Divisors: 1 5 19 25 71 95 101 355 361 475 505 1349 1775 1805 1919 2525 5041 6745 7171 9025 9595 10201 25205 25631 33725 35855 36461 47975 51005 95779 126025 128155 136249 179275 182305 193819 255025 478895 509141 640775 681245 724271 911525 969095 1819801 2394475 2545705 2588731 3406225 3621355 3682561 4845475 9099005 9673679 12728525 12943655 13761149 18106775 18412805 45495025 48368395 51423241 64718275 68805745 92064025 183799901 241841975 257116205 261461831 344028725 918999505 977041579 1285581025 1307309155 4594997525 4885207895 6536545775 18563790001 24426039475 92818950005 464094750025