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72900116718 = 23111384965171
BaseRepresentation
bin100001111100100101…
…1111000000011101110
320222011112102122002220
41003321023320003232
52143244412213333
653253450300210
75160350524302
oct1037113700356
9228145378086
1072900116718
1128a0a240750
1212166127666
136b4a229550
143757c5bd02
151d6a0248b3
hex10f92f80ee

72900116718 has 32 divisors (see below), whose sum is σ = 171289786752. Its totient is φ = 20391640800.

The previous prime is 72900116717. The next prime is 72900116743. The reversal of 72900116718 is 81761100927.

It is a self number, because there is not a number n which added to its sum of digits gives 72900116718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72900116713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42481728 + ... + 42483443.

It is an arithmetic number, because the mean of its divisors is an integer number (5352805836).

Almost surely, 272900116718 is an apocalyptic number.

72900116718 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72900116718 is an abundant number, since it is smaller than the sum of its proper divisors (98389670034).

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

72900116718 is a wasteful number, since it uses less digits than its factorization.

72900116718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84965200.

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 72900116718 in words is "seventy-two billion, nine hundred million, one hundred sixteen thousand, seven hundred eighteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 84965171 169930342 254895513 509791026 934616881 1104547223 1869233762 2209094446 2803850643 3313641669 5607701286 6627283338 12150019453 24300038906 36450058359 72900116718