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36425790720 = 283451119412
BaseRepresentation
bin100001111011001001…
…010111010100000000
310111000120112220010000
4201323021113110000
51044100000300340
624422255040000
72426444053404
oct417311272400
9114016486100
1036425790720
11144a2455780
127086b10000
133586732527
141a97a13104
15e32d1bd30
hex87b257500

36425790720 has 1080 divisors, whose sum is σ = 153410130720. Its totient is φ = 8161689600.

The previous prime is 36425790691. The next prime is 36425790733. The reversal of 36425790720 is 2709752463.

36425790720 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 579 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 888433900 + ... + 888433940.

Almost surely, 236425790720 is an apocalyptic number.

36425790720 is a gapful number since it is divisible by the number (30) 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 36425790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76705065360).

36425790720 is an abundant number, since it is smaller than the sum of its proper divisors (116984340000).

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

36425790720 is a wasteful number, since it uses less digits than its factorization.

36425790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 36425790720 in words is "thirty-six billion, four hundred twenty-five million, seven hundred ninety thousand, seven hundred twenty".