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83989875200 = 2952711261127
BaseRepresentation
bin100111000111000101…
…1111100101000000000
322000210101202201211112
41032032023330220000
52334002402001300
6102330122302452
76032230105550
oct1161613745000
9260711681745
1083989875200
1132690105400
1214340057a28
137bc691cc0a
1440caa15160
1522b88e3e35
hex138e2fca00

83989875200 has 720 divisors, whose sum is σ = 267781527552. Its totient is φ = 25546752000.

The previous prime is 83989875161. The next prime is 83989875241. The reversal of 83989875200 is 257898938.

It is a super-2 number, since 2×839898752002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83989875200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 661337537 + ... + 661337663.

Almost surely, 283989875200 is an apocalyptic number.

83989875200 is a gapful number since it is divisible by the number (80) 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 83989875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133890763776).

83989875200 is an abundant number, since it is smaller than the sum of its proper divisors (183791652352).

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

83989875200 is a wasteful number, since it uses less digits than its factorization.

83989875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 83989875200 in words is "eighty-three billion, nine hundred eighty-nine million, eight hundred seventy-five thousand, two hundred".