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215010000504 = 2333131979139367
BaseRepresentation
bin1100100000111110011…
…0000011111001111000
3202112222102020201022000
43020033212003321320
512010320030004004
6242435122301000
721351101564265
oct3101746037170
9675872221260
10215010000504
11832045a37a2
12358064b7760
1317376c5a090
14a59978a26c
1558d60b1c39
hex320f983e78

215010000504 has 512 divisors, whose sum is σ = 692428800000. Its totient is φ = 61269032448.

The previous prime is 215010000503. The next prime is 215010000509. The reversal of 215010000504 is 405000010512.

215010000504 is a `hidden beast` number, since 2 + 150 + 10 + 0 + 0 + 0 + 504 = 666.

215010000504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 215010000504 = 31113 + 56973 = 34083 + 55983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215010000503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585858129 + ... + 585858495.

It is an arithmetic number, because the mean of its divisors is an integer number (1352400000).

Almost surely, 2215010000504 is an apocalyptic number.

215010000504 is a gapful number since it is divisible by the number (24) 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 215010000504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346214400000).

215010000504 is an abundant number, since it is smaller than the sum of its proper divisors (477418799496).

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

215010000504 is a wasteful number, since it uses less digits than its factorization.

215010000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 215010000504 in words is "two hundred fifteen billion, ten million, five hundred four", and thus it is an aban number.