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73116160000 = 21254134
BaseRepresentation
bin100010000011000010…
…0000001000000000000
320222201120221202202221
41010012010001000000
52144220214110000
653331125020424
75165613051142
oct1040604010000
9228646852687
1073116160000
1129010191214
1212206554714
136b82c10000
143778818c92
151d7de9c61a
hex1106101000

73116160000 has 325 divisors, whose sum is σ = 197934867911. Its totient is φ = 26996736000.

The previous prime is 73116159997. The next prime is 73116160003. The reversal of 73116160000 is 6161137.

It is a happy number.

The square root of 73116160000 is 270400.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (73116159997) and next prime (73116160003).

It can be written as a sum of positive squares in 12 ways, for example, as 17163096064 + 55953063936 = 131008^2 + 236544^2 .

It is a tau number, because it is divible by the number of its divisors (325).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73116160003) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 5624319994 + ... + 5624320006.

Almost surely, 273116160000 is an apocalyptic number.

73116160000 is the 270400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73116160000

73116160000 is an abundant number, since it is smaller than the sum of its proper divisors (124818707911).

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

73116160000 is an frugal number, since it uses more digits than its factorization.

73116160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

Multiplying 73116160000 by its sum of digits (25), we get a square (1827904000000 = 13520002).

73116160000 divided by its sum of digits (25) gives a square (2924646400 = 540802).

The spelling of 73116160000 in words is "seventy-three billion, one hundred sixteen million, one hundred sixty thousand".