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73054564848 = 2434175362563
BaseRepresentation
bin100010000001001100…
…1000011000111110000
320222120022001102010000
41010002121003013300
52144103432033343
653321044510000
75164234361346
oct1040231030760
9228508042100
1073054564848
1128a89440931
12121a99ab300
136b73224c85
143770583996
151d78881ed3
hex11026431f0

73054564848 has 200 divisors, whose sum is σ = 228106592208. Its totient is φ = 22486284288.

The previous prime is 73054564841. The next prime is 73054564853. The reversal of 73054564848 is 84846545037.

It is a happy number.

73054564848 is a `hidden beast` number, since 7 + 30 + 5 + 4 + 564 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 73054564794 and 73054564803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73054564841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1136415 + ... + 1198977.

Almost surely, 273054564848 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 73054564848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114053296104).

73054564848 is an abundant number, since it is smaller than the sum of its proper divisors (155052027360).

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

73054564848 is a wasteful number, since it uses less digits than its factorization.

73054564848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62653 (or 62638 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 73054564848 in words is "seventy-three billion, fifty-four million, five hundred sixty-four thousand, eight hundred forty-eight".