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73421479296 = 27341119311093
BaseRepresentation
bin100010001100001000…
…0101101110110000000
321000111212110121010000
41010120100231312000
52200331344314141
653421313040000
75206311163644
oct1043020556600
9230455417100
1073421479296
1129157569110
1212290856000
136c01251009
1437a71b4c24
151d9abac5b6
hex111842dd80

73421479296 has 640 divisors, whose sum is σ = 259241241600. Its totient is φ = 20379340800.

The previous prime is 73421479283. The next prime is 73421479301. The reversal of 73421479296 is 69297412437.

73421479296 is a `hidden beast` number, since 7 + 3 + 421 + 47 + 92 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 67173726 + ... + 67174818.

It is an arithmetic number, because the mean of its divisors is an integer number (405064440).

Almost surely, 273421479296 is an apocalyptic number.

73421479296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73421479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129620620800).

73421479296 is an abundant number, since it is smaller than the sum of its proper divisors (185819762304).

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

73421479296 is a wasteful number, since it uses less digits than its factorization.

73421479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1159 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 73421479296 in words is "seventy-three billion, four hundred twenty-one million, four hundred seventy-nine thousand, two hundred ninety-six".