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72623923199 = 7310329713251
BaseRepresentation
bin100001110100010111…
…0010001111111111111
320221110021201112211022
41003220232101333333
52142213211020244
653210222414355
75150455106342
oct1035056217777
9227407645738
1072623923199
1128888347443
12120a97313bb
136b04c45629
14372d2c4459
151d50b696ee
hex10e8b91fff

72623923199 has 16 divisors (see below), whose sum is σ = 74381409024. Its totient is φ = 70887960000.

The previous prime is 72623923189. The next prime is 72623923223. The reversal of 72623923199 is 99132932627.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72623923199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72623923199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72623923129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22337324 + ... + 22340574.

It is an arithmetic number, because the mean of its divisors is an integer number (4648838064).

Almost surely, 272623923199 is an apocalyptic number.

72623923199 is a deficient number, since it is larger than the sum of its proper divisors (1757485825).

72623923199 is a wasteful number, since it uses less digits than its factorization.

72623923199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398.

The product of its digits is 2204496, while the sum is 53.

The spelling of 72623923199 in words is "seventy-two billion, six hundred twenty-three million, nine hundred twenty-three thousand, one hundred ninety-nine".

Divisors: 1 73 103 2971 3251 7519 216883 237323 306013 334853 9658721 22338949 24444269 705086633 994848263 72623923199