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55342062720 = 2732572383719
BaseRepresentation
bin110011100010101001…
…001101110010000000
312021211212212002000200
4303202221031302000
51401320032001340
641231312245200
73666266525430
oct634251156200
9167755762020
1055342062720
112151a17391a
12a885b40800
1352ac735a99
14296ddd42c0
15168d868330
hexce2a4dc80

55342062720 has 768 divisors, whose sum is σ = 230965862400. Its totient is φ = 11937226752.

The previous prime is 55342062709. The next prime is 55342062731. The reversal of 55342062720 is 2726024355.

55342062720 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 2 + 0 + 627 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (55342062709) and next prime (55342062731).

It is a super-2 number, since 2×553420627202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76970521 + ... + 76971239.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 255342062720 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 55342062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115482931200).

55342062720 is an abundant number, since it is smaller than the sum of its proper divisors (175623799680).

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

55342062720 is a wasteful number, since it uses less digits than its factorization.

55342062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 55342062720 in words is "fifty-five billion, three hundred forty-two million, sixty-two thousand, seven hundred twenty".