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89380133640 = 2335573171983
BaseRepresentation
bin101001100111101111…
…0001001101100001000
322112201001111020100000
41103033132021230020
52431022303234030
6105021034243000
76312631413000
oct1231736115410
9275631436300
1089380133640
11349a6834346
12153a5286460
13857558c055
14447c863000
1524d1c37860
hex14cf789b08

89380133640 has 1536 divisors, whose sum is σ = 396264960000. Its totient is φ = 17996525568.

The previous prime is 89380133629. The next prime is 89380133651. The reversal of 89380133640 is 4633108398.

89380133640 is a `hidden beast` number, since 89 + 380 + 133 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89380133629) and next prime (89380133651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1076869039 + ... + 1076869121.

It is an arithmetic number, because the mean of its divisors is an integer number (257985000).

Almost surely, 289380133640 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 89380133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480000).

89380133640 is an abundant number, since it is smaller than the sum of its proper divisors (306884826360).

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

89380133640 is a wasteful number, since it uses less digits than its factorization.

89380133640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 89380133640 in words is "eighty-nine billion, three hundred eighty million, one hundred thirty-three thousand, six hundred forty".