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52894296000 = 263553713223
BaseRepresentation
bin110001010000101111…
…101110011111000000
312001112021221122100000
4301100233232133000
51331311414433000
640144352200000
73551525045340
oct612057563700
9161467848300
1052894296000
11204834a6517
12a302239000
134cac594400
1427bac9cd20
151598a09000
hexc50bee7c0

52894296000 has 2016 divisors, whose sum is σ = 253385653248. Its totient is φ = 10674892800.

The previous prime is 52894295999. The next prime is 52894296011. The reversal of 52894296000 is 69249825.

52894296000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2299751989 + ... + 2299752011.

It is an arithmetic number, because the mean of its divisors is an integer number (125687328).

Almost surely, 252894296000 is an apocalyptic number.

52894296000 is a gapful number since it is divisible by the number (50) 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 52894296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126692826624).

52894296000 is an abundant number, since it is smaller than the sum of its proper divisors (200491357248).

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

52894296000 is a wasteful number, since it uses less digits than its factorization.

52894296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 52894296000 in words is "fifty-two billion, eight hundred ninety-four million, two hundred ninety-six thousand".