Search a number
-
+
55301134560 = 253574129791
BaseRepresentation
bin110011100000001101…
…000101100011100000
312021202000211201010220
4303200031011203200
51401224042301220
641223251123040
73665261613360
oct634015054340
9167660751126
1055301134560
11214a90599a1
12a8742a3480
1352a4105939
1429687bc9a0
151689e81540
hexce03458e0

55301134560 has 288 divisors, whose sum is σ = 204079067136. Its totient is φ = 12330700800.

The previous prime is 55301134547. The next prime is 55301134613. The reversal of 55301134560 is 6543110355.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5643265 + ... + 5653055.

It is an arithmetic number, because the mean of its divisors is an integer number (708607872).

Almost surely, 255301134560 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 55301134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102039533568).

55301134560 is an abundant number, since it is smaller than the sum of its proper divisors (148777932576).

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

55301134560 is a wasteful number, since it uses less digits than its factorization.

55301134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9849 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 55301134560 in words is "fifty-five billion, three hundred one million, one hundred thirty-four thousand, five hundred sixty".