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73013483160 = 23335678312157
BaseRepresentation
bin100001111111111110…
…0010101011010011000
320222110102202020122000
41003333330111122120
52144012422430120
653313020201000
75163225236562
oct1037774253230
9228412666560
1073013483160
1128a68231622
1212198099160
136b6786cc97
143768d2c332
151d74e69990
hex10fff15698

73013483160 has 256 divisors, whose sum is σ = 250007385600. Its totient is φ = 18947022336.

The previous prime is 73013483149. The next prime is 73013483189. The reversal of 73013483160 is 6138431037.

73013483160 is a `hidden beast` number, since 7 + 3 + 0 + 13 + 483 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5999802 + ... + 6011958.

It is an arithmetic number, because the mean of its divisors is an integer number (976591350).

Almost surely, 273013483160 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 73013483160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125003692800).

73013483160 is an abundant number, since it is smaller than the sum of its proper divisors (176993902440).

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

73013483160 is a wasteful number, since it uses less digits than its factorization.

73013483160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 73013483160 in words is "seventy-three billion, thirteen million, four hundred eighty-three thousand, one hundred sixty".