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54942466320 = 2433574318431
BaseRepresentation
bin110011001010110100…
…111000000100010000
312020211000221110211000
4303022310320010100
51400010232410240
641123515422000
73653345154360
oct631264700420
9166730843730
1054942466320
1121334654165
12a794154900
135247a06101
142932cd69a0
151668734430
hexccad38110

54942466320 has 320 divisors, whose sum is σ = 216808980480. Its totient is φ = 12527654400.

The previous prime is 54942466301. The next prime is 54942466321. The reversal of 54942466320 is 2366424945.

54942466320 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 2 + 4 + 6 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54942466321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6512505 + ... + 6520935.

It is an arithmetic number, because the mean of its divisors is an integer number (677528064).

Almost surely, 254942466320 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 54942466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108404490240).

54942466320 is an abundant number, since it is smaller than the sum of its proper divisors (161866514160).

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

54942466320 is a wasteful number, since it uses less digits than its factorization.

54942466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8891 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 54942466320 in words is "fifty-four billion, nine hundred forty-two million, four hundred sixty-six thousand, three hundred twenty".