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36426305664 = 273375232879
BaseRepresentation
bin100001111011001011…
…010101000010000000
310111000121112001111000
4201323023111002000
51044100113240124
624422314052000
72426451326610
oct417313250200
9114017461430
1036426305664
11144a2777651
12708711a000
133586882a28
141a97b08a40
15e32dbe6c9
hex87b2d5080

36426305664 has 256 divisors, whose sum is σ = 123144192000. Its totient is φ = 10384008192.

The previous prime is 36426305651. The next prime is 36426305723. The reversal of 36426305664 is 46650362463.

36426305664 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 630 + 5 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12650977 + ... + 12653855.

It is an arithmetic number, because the mean of its divisors is an integer number (481032000).

Almost surely, 236426305664 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 36426305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61572096000).

36426305664 is an abundant number, since it is smaller than the sum of its proper divisors (86717886336).

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

36426305664 is a wasteful number, since it uses less digits than its factorization.

36426305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 36426305664 in words is "thirty-six billion, four hundred twenty-six million, three hundred five thousand, six hundred sixty-four".