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73047962304 = 26325916313187
BaseRepresentation
bin100010000000111111…
…1110111001011000000
320222112211121222010100
41010001333313023000
52144100234243204
653320251202400
75164124302062
oct1040177671300
9228484558110
1073047962304
1128a85741289
12121a7746400
136b71a52945
14376d745732
151d77ecaa39
hex1101ff72c0

73047962304 has 168 divisors, whose sum is σ = 214250137920. Its totient is φ = 23787965952.

The previous prime is 73047962263. The next prime is 73047962327. The reversal of 73047962304 is 40326974037.

It is a self number, because there is not a number n which added to its sum of digits gives 73047962304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5532799 + ... + 5545985.

It is an arithmetic number, because the mean of its divisors is an integer number (1275298440).

Almost surely, 273047962304 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 73047962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107125068960).

73047962304 is an abundant number, since it is smaller than the sum of its proper divisors (141202175616).

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

73047962304 is a wasteful number, since it uses less digits than its factorization.

73047962304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13427 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 73047962304 in words is "seventy-three billion, forty-seven million, nine hundred sixty-two thousand, three hundred four".