Search a number
-
+
53167274160 = 24357113133159
BaseRepresentation
bin110001100001000001…
…000011100010110000
312002020022121100222020
4301201001003202300
51332341310233120
640231423111440
73561351242130
oct614101034260
9162208540866
1053167274160
11206035a4000
12a379742580
135023cc0950
14280523aac0
1515b297b640
hexc610438b0

53167274160 has 1280 divisors, whose sum is σ = 234225008640. Its totient is φ = 9701683200.

The previous prime is 53167274131. The next prime is 53167274161. The reversal of 53167274160 is 6147276135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (53167274161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 901140211 + ... + 901140269.

It is an arithmetic number, because the mean of its divisors is an integer number (182988288).

Almost surely, 253167274160 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 53167274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117112504320).

53167274160 is an abundant number, since it is smaller than the sum of its proper divisors (181057734480).

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

53167274160 is a wasteful number, since it uses less digits than its factorization.

53167274160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 53167274160 in words is "fifty-three billion, one hundred sixty-seven million, two hundred seventy-four thousand, one hundred sixty".