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52692905344 = 272918178427
BaseRepresentation
bin110001000100101111…
…011110110110000000
312001000020222221021211
4301010233132312000
51330403340432334
640112355455504
73543531206512
oct610457366600
9161006887254
1052692905344
112038a853762
12a2668b7594
134c79941141
14279c237bb2
151585ec7a64
hexc44bded80

52692905344 has 64 divisors (see below), whose sum is σ = 109195304400. Its totient is φ = 25297090560.

The previous prime is 52692905311. The next prime is 52692905347. The reversal of 52692905344 is 44350929625.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52692905347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632659 + ... + 711085.

Almost surely, 252692905344 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 52692905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54597652200).

52692905344 is an abundant number, since it is smaller than the sum of its proper divisors (56502399056).

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

52692905344 is a wasteful number, since it uses less digits than its factorization.

52692905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78651 (or 78639 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

The spelling of 52692905344 in words is "fifty-two billion, six hundred ninety-two million, nine hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 181 232 362 464 724 928 1448 1856 2896 3712 5249 5792 10498 11584 20996 23168 41992 78427 83984 156854 167968 313708 335936 627416 671872 1254832 2274383 2509664 4548766 5019328 9097532 10038656 14195287 18195064 28390574 36390128 56781148 72780256 113562296 145560512 227124592 291121024 411663323 454249184 823326646 908498368 1646653292 1816996736 3293306584 6586613168 13173226336 26346452672 52692905344