Search a number
-
+
53669112000 = 263537247971
BaseRepresentation
bin110001111110111011…
…011010100011000000
312010112021220101001220
4301332323122203000
51334403243041000
640353311155040
73606653632200
oct617673324300
9163467811056
1053669112000
11208408a6219
12a499815a80
1350a3c6a40a
142851b50400
1515e1a591a0
hexc7eeda8c0

53669112000 has 672 divisors, whose sum is σ = 210751497216. Its totient is φ = 11993856000.

The previous prime is 53669111999. The next prime is 53669112001. The reversal of 53669112000 is 21196635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53669111999) and next prime (53669112001).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (53669112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55271515 + ... + 55272485.

Almost surely, 253669112000 is an apocalyptic number.

53669112000 is a gapful number since it is divisible by the number (50) 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 53669112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105375748608).

53669112000 is an abundant number, since it is smaller than the sum of its proper divisors (157082385216).

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

53669112000 is a wasteful number, since it uses less digits than its factorization.

53669112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 53669112000 in words is "fifty-three billion, six hundred sixty-nine million, one hundred twelve thousand".