Search a number
-
+
53279880192 = 2103371129863
BaseRepresentation
bin110001100111101110…
…100111010000000000
312002112011111100102000
4301213232213100000
51333104122131232
640250524424000
73564216336450
oct614756472000
9162464440360
1053279880192
1120661115640
12a3ab3a8000
135041429236
14281618dd60
1515bc7c127c
hexc67ba7400

53279880192 has 704 divisors, whose sum is σ = 203743641600. Its totient is φ = 13346242560.

The previous prime is 53279880187. The next prime is 53279880211. The reversal of 53279880192 is 29108897235.

53279880192 is a `hidden beast` number, since 532 + 7 + 98 + 8 + 0 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

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, 61737553 + ... + 61738415.

Almost surely, 253279880192 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 53279880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101871820800).

53279880192 is an abundant number, since it is smaller than the sum of its proper divisors (150463761408).

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

53279880192 is a wasteful number, since it uses less digits than its factorization.

53279880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 53279880192 in words is "fifty-three billion, two hundred seventy-nine million, eight hundred eighty thousand, one hundred ninety-two".