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55791041760 = 2533556922697
BaseRepresentation
bin110011111101011001…
…111011110011100000
312100000011200120111000
4303331121323303200
51403230001314020
641344031352000
74013361013266
oct637531736340
9170004616430
1055791041760
112172a652483
12a990382600
135351765b5c
1429b38a8436
1516b7ea4090
hexcfd67bce0

55791041760 has 192 divisors, whose sum is σ = 195620443200. Its totient is φ = 14850809856.

The previous prime is 55791041759. The next prime is 55791041773. The reversal of 55791041760 is 6714019755.

55791041760 is a `hidden beast` number, since 5 + 579 + 1 + 0 + 4 + 1 + 76 + 0 = 666.

It is a super-2 number, since 2×557910417602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2446732 + ... + 2469428.

It is an arithmetic number, because the mean of its divisors is an integer number (1018856475).

Almost surely, 255791041760 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 55791041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97810221600).

55791041760 is an abundant number, since it is smaller than the sum of its proper divisors (139829401440).

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

55791041760 is a wasteful number, since it uses less digits than its factorization.

55791041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23290 (or 23276 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 55791041760 in words is "fifty-five billion, seven hundred ninety-one million, forty-one thousand, seven hundred sixty".