Search a number
-
+
53538979104 = 253313171991409
BaseRepresentation
bin110001110111001010…
…111111110100100000
312010012020000221022000
4301313022333310200
51334121434312404
640332342044000
73603513546042
oct616712776440
9163166027260
1053538979104
11207843a3476
12a462119600
1350830062c0
14283c757a92
1515d5401339
hexc772bfd20

53538979104 has 384 divisors, whose sum is σ = 179081280000. Its totient is φ = 15415640064.

The previous prime is 53538979079. The next prime is 53538979111. The reversal of 53538979104 is 40197983535.

53538979104 is a `hidden beast` number, since 5 + 3 + 538 + 97 + 9 + 10 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37997152 + ... + 37998560.

It is an arithmetic number, because the mean of its divisors is an integer number (466357500).

Almost surely, 253538979104 is an apocalyptic number.

53538979104 is a gapful number since it is divisible by the number (54) 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 53538979104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89540640000).

53538979104 is an abundant number, since it is smaller than the sum of its proper divisors (125542300896).

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

53538979104 is a wasteful number, since it uses less digits than its factorization.

53538979104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 53538979104 in words is "fifty-three billion, five hundred thirty-eight million, nine hundred seventy-nine thousand, one hundred four".