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90955943936 = 2121121319743
BaseRepresentation
bin101010010110101100…
…1011001000000000000
322200202212122200200022
41110231121121000000
52442234210201221
6105441245313012
76366654524054
oct1245531310000
9280685580608
1090955943936
1135635293a00
1215764b65768
138766ba5690
14458bc5bc64
1525752594ab
hex152d659000

90955943936 has 312 divisors, whose sum is σ = 226944432960. Its totient is φ = 36106076160.

The previous prime is 90955943929. The next prime is 90955943959. The reversal of 90955943936 is 63934955909.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122416781 + ... + 122417523.

Almost surely, 290955943936 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 90955943936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113472216480).

90955943936 is an abundant number, since it is smaller than the sum of its proper divisors (135988489024).

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

90955943936 is a wasteful number, since it uses less digits than its factorization.

90955943936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 62.

The spelling of 90955943936 in words is "ninety billion, nine hundred fifty-five million, nine hundred forty-three thousand, nine hundred thirty-six".