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56252146500 = 223253112349409
BaseRepresentation
bin110100011000111000…
…111010001101000100
312101012022100010021100
4310120320322031010
51410201022142000
641501502420100
74030660233054
oct643070721504
9171168303240
1056252146500
1121946963280
12aa9a891630
1353c61501b4
142a18c17564
1516e36d7a00
hexd18e3a344

56252146500 has 288 divisors, whose sum is σ = 202010215680. Its totient is φ = 13043712000.

The previous prime is 56252146487. The next prime is 56252146519. The reversal of 56252146500 is 564125265.

56252146500 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 2 + 146 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113796 + ... + 1163204.

It is an arithmetic number, because the mean of its divisors is an integer number (701424360).

Almost surely, 256252146500 is an apocalyptic number.

56252146500 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 56252146500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101005107840).

56252146500 is an abundant number, since it is smaller than the sum of its proper divisors (145758069180).

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

56252146500 is a wasteful number, since it uses less digits than its factorization.

56252146500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49468 (or 49453 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 56252146500 in words is "fifty-six billion, two hundred fifty-two million, one hundred forty-six thousand, five hundred".