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52258932000 = 2534531123143
BaseRepresentation
bin110000101010111000…
…000000010100100000
311222220000101210210000
4300222320000110200
51324011241311000
640001334140000
73530011410222
oct605270002440
9158800353700
1052258932000
1120187894100
12a1654b1600
134c0aa66192
14275a74c412
15155cd53000
hexc2ae00520

52258932000 has 1440 divisors, whose sum is σ = 222692101632. Its totient is φ = 11975040000.

The previous prime is 52258931999. The next prime is 52258932029. The reversal of 52258932000 is 23985225.

52258932000 is a `hidden beast` number, since 52 + 2 + 589 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1215323979 + ... + 1215324021.

Almost surely, 252258932000 is an apocalyptic number.

52258932000 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 52258932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111346050816).

52258932000 is an abundant number, since it is smaller than the sum of its proper divisors (170433169632).

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

52258932000 is a wasteful number, since it uses less digits than its factorization.

52258932000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 52258932000 in words is "fifty-two billion, two hundred fifty-eight million, nine hundred thirty-two thousand".