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200132856000 = 2635537211191
BaseRepresentation
bin1011101001100011011…
…0010000100011000000
3201010120121021110200000
42322120312100203000
511234333002343000
6231534553400000
720313323131200
oct2723066204300
9633517243600
10200132856000
117796a863950
1232954109000
1315b459c78ac
1499879c6400
155314e69000
hex2e98d908c0

200132856000 has 2016 divisors, whose sum is σ = 947080802304. Its totient is φ = 41368320000.

The previous prime is 200132855981. The next prime is 200132856017. The reversal of 200132856000 is 658231002.

200132856000 is a `hidden beast` number, since 20 + 0 + 1 + 32 + 8 + 5 + 600 + 0 = 666.

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 (27).

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, 1047815905 + ... + 1047816095.

It is an arithmetic number, because the mean of its divisors is an integer number (469782144).

Almost surely, 2200132856000 is an apocalyptic number.

200132856000 is a gapful number since it is divisible by the number (20) 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 200132856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473540401152).

200132856000 is an abundant number, since it is smaller than the sum of its proper divisors (746947946304).

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

200132856000 is a wasteful number, since it uses less digits than its factorization.

200132856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 200132856000 in words is "two hundred billion, one hundred thirty-two million, eight hundred fifty-six thousand".