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53364256704 = 2634115317657
BaseRepresentation
bin110001101100110000…
…011110111111000000
312002202001021010020000
4301230300132333000
51333242222203304
640303141120000
73566262461223
oct615460367700
9162661233200
1053364256704
11206a48059a0
12a4136b9000
135055a5c675
1428234755ba
1515c4ddb939
hexc6cc1efc0

53364256704 has 280 divisors, whose sum is σ = 175835114928. Its totient is φ = 15864975360.

The previous prime is 53364256643. The next prime is 53364256709. The reversal of 53364256704 is 40765246335.

53364256704 is a `hidden beast` number, since 53 + 36 + 4 + 2 + 567 + 0 + 4 = 666.

53364256704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53364256704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53364256709) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3013444 + ... + 3031100.

Almost surely, 253364256704 is an apocalyptic number.

53364256704 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 53364256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87917557464).

53364256704 is an abundant number, since it is smaller than the sum of its proper divisors (122470858224).

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

53364256704 is a wasteful number, since it uses less digits than its factorization.

53364256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17745 (or 17726 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 53364256704 in words is "fifty-three billion, three hundred sixty-four million, two hundred fifty-six thousand, seven hundred four".