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10812198432 = 2537235367197
BaseRepresentation
bin10100001000111010…
…10000111000100000
31000220112001120220210
422010131100320200
5134120410322212
64544514534120
7531636112260
oct120435207040
930815046823
1010812198432
114649227792
122118b97340
131034051769
14747d857a0
1543434453c
hex284750e20

10812198432 has 384 divisors, whose sum is σ = 35177877504. Its totient is φ = 2841366528.

The previous prime is 10812198421. The next prime is 10812198457. The reversal of 10812198432 is 23489121801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54884158 + ... + 54884354.

It is an arithmetic number, because the mean of its divisors is an integer number (91609056).

Almost surely, 210812198432 is an apocalyptic number.

10812198432 is a gapful number since it is divisible by the number (12) 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 10812198432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588938752).

10812198432 is an abundant number, since it is smaller than the sum of its proper divisors (24365679072).

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

10812198432 is a wasteful number, since it uses less digits than its factorization.

10812198432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 10812198432 in words is "ten billion, eight hundred twelve million, one hundred ninety-eight thousand, four hundred thirty-two".