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52806371904 = 26331113297369
BaseRepresentation
bin110001001011100000…
…010100101001000000
312001022011111122011000
4301023200110221000
51331121412400104
640131531452000
73546406520016
oct611340245100
9161264448130
1052806371904
1120438902880
12a2988b7000
134c972bb310
1427ad3328b6
151590e3c639
hexc4b814a40

52806371904 has 448 divisors, whose sum is σ = 188695584000. Its totient is φ = 14259732480.

The previous prime is 52806371833. The next prime is 52806371909. The reversal of 52806371904 is 40917360825.

52806371904 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 637 + 1 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52806371904.

It is not an unprimeable number, because it can be changed into a prime (52806371909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7162332 + ... + 7169700.

It is an arithmetic number, because the mean of its divisors is an integer number (421195500).

It is a 1-persistent number, because it is pandigital, but 2⋅52806371904 = 105612743808 is not.

Almost surely, 252806371904 is an apocalyptic number.

52806371904 is a gapful number since it is divisible by the number (54) 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 52806371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94347792000).

52806371904 is an abundant number, since it is smaller than the sum of its proper divisors (135889212096).

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

52806371904 is a wasteful number, since it uses less digits than its factorization.

52806371904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 52806371904 in words is "fifty-two billion, eight hundred six million, three hundred seventy-one thousand, nine hundred four".