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52624484448 = 2531815215813
BaseRepresentation
bin110001000000101010…
…011110100001100000
312000211111020210110120
4301000222132201200
51330233332000243
640101513200240
73542040510624
oct610052364140
9160744223416
1052624484448
1120355171068
12a247a00080
134c687062c3
142793107184
15157eeaec83
hexc40a9e860

52624484448 has 96 divisors (see below), whose sum is σ = 139193020512. Its totient is φ = 17408102400.

The previous prime is 52624484447. The next prime is 52624484461. The reversal of 52624484448 is 84448442625.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 52624484448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52624484447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9049990 + ... + 9055802.

It is an arithmetic number, because the mean of its divisors is an integer number (1449927297).

Almost surely, 252624484448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52624484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69596510256).

52624484448 is an abundant number, since it is smaller than the sum of its proper divisors (86568536064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52624484448 is a wasteful number, since it uses less digits than its factorization.

52624484448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6520 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 51.

The spelling of 52624484448 in words is "fifty-two billion, six hundred twenty-four million, four hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 521 543 724 1042 1086 1448 1563 2084 2172 2896 3126 4168 4344 5792 5813 6252 8336 8688 11626 12504 16672 17376 17439 23252 25008 34878 46504 50016 69756 93008 94301 139512 186016 188602 279024 282903 377204 558048 565806 754408 1052153 1131612 1508816 2104306 2263224 3017632 3028573 3156459 4208612 4526448 6057146 6312918 8417224 9052896 9085719 12114292 12625836 16834448 18171438 24228584 25251672 33668896 36342876 48457168 50503344 72685752 96914336 101006688 145371504 290743008 548171713 1096343426 1644515139 2192686852 3289030278 4385373704 6578060556 8770747408 13156121112 17541494816 26312242224 52624484448