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73114670304 = 25331310363199
BaseRepresentation
bin100010000010111111…
…0010101010011100000
320222201111011002022000
41010011332111103200
52144214323422204
653331033044000
75165564305044
oct1040576252340
9228644132260
1073114670304
112900a363a65
1212205b56600
136b8280ac30
14377854c024
151d7dca6039
hex1105f954e0

73114670304 has 192 divisors, whose sum is σ = 231888384000. Its totient is φ = 22278053376.

The previous prime is 73114670297. The next prime is 73114670323. The reversal of 73114670304 is 40307641137.

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 31 ways as a sum of consecutive naturals, for example, 1125297 + ... + 1188495.

It is an arithmetic number, because the mean of its divisors is an integer number (1207752000).

Almost surely, 273114670304 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 73114670304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115944192000).

73114670304 is an abundant number, since it is smaller than the sum of its proper divisors (158773713696).

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

73114670304 is a wasteful number, since it uses less digits than its factorization.

73114670304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63334 (or 63320 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 73114670304 in words is "seventy-three billion, one hundred fourteen million, six hundred seventy thousand, three hundred four".