Search a number
-
+
53689633920 = 2733513172827
BaseRepresentation
bin110010000000001001…
…101100110010000000
312010120201111222212000
4302000021230302000
51334424021241140
640355323104000
73610323233646
oct620011546200
9163521458760
1053689633920
112085144268a
12a4a4672000
1350a82a4270
142854773196
1515e375ea30
hexc8026cc80

53689633920 has 768 divisors, whose sum is σ = 217795132800. Its totient is φ = 12423462912.

The previous prime is 53689633909. The next prime is 53689633979. The reversal of 53689633920 is 2933698635.

53689633920 is a `hidden beast` number, since 536 + 89 + 6 + 3 + 3 + 9 + 20 = 666.

It is a super-2 number, since 2×536896339202 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64920547 + ... + 64921373.

Almost surely, 253689633920 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 53689633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108897566400).

53689633920 is an abundant number, since it is smaller than the sum of its proper divisors (164105498880).

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

53689633920 is a wasteful number, since it uses less digits than its factorization.

53689633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 53689633920 in words is "fifty-three billion, six hundred eighty-nine million, six hundred thirty-three thousand, nine hundred twenty".