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36398509056 = 21033713172337
BaseRepresentation
bin100001111001100001…
…010010110000000000
310110221200012211201000
4201321201102300000
51044021004242211
624415442212000
72425663136130
oct417141226000
9113850184630
1036398509056
1114489011648
127079954000
133580b9c930
141a94150ac0
15e3072d656
hex879852c00

36398509056 has 1408 divisors, whose sum is σ = 150543912960. Its totient is φ = 8408530944.

The previous prime is 36398508997. The next prime is 36398509067. The reversal of 36398509056 is 65090589363.

It is a super-2 number, since 2×363985090562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36398508993 and 36398509011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 983743470 + ... + 983743506.

Almost surely, 236398509056 is an apocalyptic number.

36398509056 is a gapful number since it is divisible by the number (36) 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 36398509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271956480).

36398509056 is an abundant number, since it is smaller than the sum of its proper divisors (114145403904).

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

36398509056 is a wasteful number, since it uses less digits than its factorization.

36398509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 36398509056 in words is "thirty-six billion, three hundred ninety-eight million, five hundred nine thousand, fifty-six".