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54722426880 = 2113511672417
BaseRepresentation
bin110010111101101101…
…011111100000000000
312020020200220022110010
4302331231133200000
51344032420130010
641050015304520
73645033645102
oct627555374000
9166220808403
1054722426880
1121231424290
12a73251b140
135211253764
1429119b9572
15165426c620
hexcbdb5f800

54722426880 has 384 divisors, whose sum is σ = 193915088640. Its totient is φ = 13062635520.

The previous prime is 54722426861. The next prime is 54722426903. The reversal of 54722426880 is 8862422745.

54722426880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22639432 + ... + 22641848.

It is an arithmetic number, because the mean of its divisors is an integer number (504987210).

Almost surely, 254722426880 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 54722426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96957544320).

54722426880 is an abundant number, since it is smaller than the sum of its proper divisors (139192661760).

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

54722426880 is a wasteful number, since it uses less digits than its factorization.

54722426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 54722426880 in words is "fifty-four billion, seven hundred twenty-two million, four hundred twenty-six thousand, eight hundred eighty".