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89759901000 = 233537112913399
BaseRepresentation
bin101001110011000011…
…0110110010101001000
322120200112002102012210
41103212012312111020
52432312013313000
6105122442105120
76325222366320
oct1234606662510
9276615072183
1089759901000
1135081140170
12154904ab1a0
138606168373
1444b707c280
152505251350
hex14e61b6548

89759901000 has 512 divisors, whose sum is σ = 361221120000. Its totient is φ = 18006912000.

The previous prime is 89759900981. The next prime is 89759901047. The reversal of 89759901000 is 10995798.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6692301 + ... + 6705699.

It is an arithmetic number, because the mean of its divisors is an integer number (705510000).

Almost surely, 289759901000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89759901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180610560000).

89759901000 is an abundant number, since it is smaller than the sum of its proper divisors (271461219000).

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

89759901000 is a wasteful number, since it uses less digits than its factorization.

89759901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470 (or 13456 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The spelling of 89759901000 in words is "eighty-nine billion, seven hundred fifty-nine million, nine hundred one thousand".