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52623821052 = 2232112531032213
BaseRepresentation
bin110001000000100111…
…111100100011111100
312000211110000002110100
4301000213330203330
51330233144233202
640101451041100
73542032045545
oct610047744374
9160743002410
1052623821052
1120354858700
12a247740190
134c6853336a
142792db34cc
15157edcd41c
hexc409fc8fc

52623821052 has 216 divisors, whose sum is σ = 150486571872. Its totient is φ = 15486831360.

The previous prime is 52623821039. The next prime is 52623821059. The reversal of 52623821052 is 25012832625.

It is a happy number.

52623821052 is a `hidden beast` number, since 5 + 2 + 623 + 8 + 21 + 0 + 5 + 2 = 666.

52623821052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×526238210522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52623820998 and 52623821016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52623821059) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23778298 + ... + 23780510.

It is an arithmetic number, because the mean of its divisors is an integer number (696697092).

Almost surely, 252623821052 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 52623821052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243285936).

52623821052 is an abundant number, since it is smaller than the sum of its proper divisors (97862750820).

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

52623821052 is a wasteful number, since it uses less digits than its factorization.

52623821052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 52623821052 in words is "fifty-two billion, six hundred twenty-three million, eight hundred twenty-one thousand, fifty-two".