Search a number
-
+
53452309680 = 243257114312237
BaseRepresentation
bin110001110010000000…
…011000010010110000
312002222011221200012100
4301302000120102300
51333432242402210
640320004300400
73601412064360
oct616200302260
9162864850170
1053452309680
112073a487450
12a4390a1700
13506b07c313
1428310369a0
1515cc9d15c0
hexc720184b0

53452309680 has 480 divisors, whose sum is σ = 224425064448. Its totient is φ = 11076249600.

The previous prime is 53452309613. The next prime is 53452309693. The reversal of 53452309680 is 8690325435.

53452309680 is a `hidden beast` number, since 5 + 3 + 452 + 30 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23893522 + ... + 23895758.

Almost surely, 253452309680 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 53452309680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112212532224).

53452309680 is an abundant number, since it is smaller than the sum of its proper divisors (170972754768).

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

53452309680 is a wasteful number, since it uses less digits than its factorization.

53452309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 53452309680 in words is "fifty-three billion, four hundred fifty-two million, three hundred nine thousand, six hundred eighty".