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90231791616 = 213341719421
BaseRepresentation
bin101010000001000111…
…0111110000000000000
322121220102000221110000
41110002032332000000
52434243314312431
6105241340240000
76343012400601
oct1240216760000
9277812027400
1090231791616
11352a354860a
12155a2540000
13867cb5ab95
14451d9d7da8
1525318b59e6
hex15023be000

90231791616 has 560 divisors, whose sum is σ = 301157548560. Its totient is φ = 26754416640.

The previous prime is 90231791593. The next prime is 90231791623. The reversal of 90231791616 is 61619713209.

90231791616 is a `hidden beast` number, since 9 + 0 + 23 + 1 + 7 + 9 + 1 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214327086 + ... + 214327506.

Almost surely, 290231791616 is an apocalyptic number.

90231791616 is a gapful number since it is divisible by the number (96) 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 90231791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150578774280).

90231791616 is an abundant number, since it is smaller than the sum of its proper divisors (210925756944).

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

90231791616 is a wasteful number, since it uses less digits than its factorization.

90231791616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 90231791616 in words is "ninety billion, two hundred thirty-one million, seven hundred ninety-one thousand, six hundred sixteen".