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90014399832 = 233721723918839
BaseRepresentation
bin101001111010101000…
…1101011110101011000
322121100020222021222110
41103311101223311120
52433322141243312
6105204012552320
76334432526400
oct1236521536530
9277306867873
1090014399832
11351a1866985
12155417826a0
138646ac46a6
1444dcba9800
15251c77343c
hex14f546bd58

90014399832 has 192 divisors, whose sum is σ = 278349696000. Its totient is φ = 24102994944.

The previous prime is 90014399819. The next prime is 90014399833. The reversal of 90014399832 is 23899341009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90014399833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4768669 + ... + 4787507.

It is an arithmetic number, because the mean of its divisors is an integer number (1449738000).

Almost surely, 290014399832 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 90014399832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139174848000).

90014399832 is an abundant number, since it is smaller than the sum of its proper divisors (188335296168).

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

90014399832 is a wasteful number, since it uses less digits than its factorization.

90014399832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19118 (or 19107 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 90014399832 in words is "ninety billion, fourteen million, three hundred ninety-nine thousand, eight hundred thirty-two".