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54274207680 = 26335711233547
BaseRepresentation
bin110010100010111111…
…101010111111000000
312012002110111102022000
4302202333222333000
51342123144121210
640533324344000
73630652103430
oct624277527700
9165073442260
1054274207680
11210214145a0
12a6283a5000
13516c42b4b4
1428ac2622c0
151629c31ac0
hexca2feafc0

54274207680 has 896 divisors, whose sum is σ = 249161564160. Its totient is φ = 10784378880.

The previous prime is 54274207679. The next prime is 54274207777. The reversal of 54274207680 is 8670247245.

It is a happy number.

54274207680 is a `hidden beast` number, since 542 + 7 + 4 + 20 + 7 + 6 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 15299667 + ... + 15303213.

Almost surely, 254274207680 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 54274207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124580782080).

54274207680 is an abundant number, since it is smaller than the sum of its proper divisors (194887356480).

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

54274207680 is a wasteful number, since it uses less digits than its factorization.

54274207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 54274207680 in words is "fifty-four billion, two hundred seventy-four million, two hundred seven thousand, six hundred eighty".