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52460206425 = 32521121926913
BaseRepresentation
bin110000110110110111…
…110011100101011001
312000102001010121101100
4300312313303211121
51324414303101200
640033324142013
73535004253144
oct606667634531
9160361117340
1052460206425
1120280467600
12a200997909
134c40678583
14277938305b
15157085ed00
hexc36df3959

52460206425 has 54 divisors (see below), whose sum is σ = 103280663486. Its totient is φ = 25435238400.

The previous prime is 52460206417. The next prime is 52460206427.

52460206425 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 0 + 2 + 0 + 642 + 5 = 666.

52460206425 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 25160256 + 52435046169 = 5016^2 + 228987^2 .

It is not a de Polignac number, because 52460206425 - 23 = 52460206417 is a prime.

It is a super-2 number, since 2×524602064252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52460206425.

It is not an unprimeable number, because it can be changed into a prime (52460206427) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 936232 + ... + 990681.

Almost surely, 252460206425 is an apocalyptic number.

52460206425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52460206425 is a deficient number, since it is larger than the sum of its proper divisors (50820457061).

52460206425 is a wasteful number, since it uses less digits than its factorization.

52460206425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926951 (or 1926932 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52460206425 in words is "fifty-two billion, four hundred sixty million, two hundred six thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225 1926913 5780739 9634565 17342217 21196043 28903695 48172825 63588129 86711085 105980215 144518475 190764387 233156473 317940645 433555425 529901075 699469419 953821935 1165782365 1589703225 2098408257 3497347095 4769109675 5828911825 10492041285 17486735475 52460206425