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52628323968 = 2733112947737
BaseRepresentation
bin110001000000111001…
…000111111010000000
312000211202110212022000
4301000321013322000
51330240322331333
640102131344000
73542115241563
oct610071077200
9160752425260
1052628323968
1120357353820
12a249152000
134c6944bacc
1427938264da
1515804bc713
hexc40e47e80

52628323968 has 256 divisors, whose sum is σ = 175293936000. Its totient is φ = 15397724160.

The previous prime is 52628323919. The next prime is 52628323981. The reversal of 52628323968 is 86932382625.

52628323968 is a `hidden beast` number, since 5 + 2 + 628 + 3 + 2 + 3 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078596 + ... + 1126332.

Almost surely, 252628323968 is an apocalyptic number.

52628323968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52628323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87646968000).

52628323968 is an abundant number, since it is smaller than the sum of its proper divisors (122665612032).

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

52628323968 is a wasteful number, since it uses less digits than its factorization.

52628323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47800 (or 47782 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 52628323968 in words is "fifty-two billion, six hundred twenty-eight million, three hundred twenty-three thousand, nine hundred sixty-eight".