Search a number
-
+
55764926280 = 2334573192139
BaseRepresentation
bin110011111011110110…
…010011111101001000
312022221100112202210000
4303323312103331020
51403201310120110
641341255523000
74012623024000
oct637366237510
9168840482700
1055764926280
1121716935538
12a983689460
135349220ccb
1429b022b000
1516b5a461c0
hexcfbd93f48

55764926280 has 960 divisors, whose sum is σ = 232349040000. Its totient is φ = 11988539136.

The previous prime is 55764926263. The next prime is 55764926291. The reversal of 55764926280 is 8262946755.

55764926280 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 4 + 9 + 2 + 628 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 401186451 + ... + 401186589.

It is an arithmetic number, because the mean of its divisors is an integer number (242030250).

Almost surely, 255764926280 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 55764926280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116174520000).

55764926280 is an abundant number, since it is smaller than the sum of its proper divisors (176584113720).

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

55764926280 is a wasteful number, since it uses less digits than its factorization.

55764926280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 55764926280 in words is "fifty-five billion, seven hundred sixty-four million, nine hundred twenty-six thousand, two hundred eighty".