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72912892107 = 31167202916253
BaseRepresentation
bin100001111100111110…
…0100111000011001011
320222012102110200122110
41003321330213003023
52143311200021412
653255024153403
75160564233316
oct1037174470313
9228172420573
1072912892107
1128a16477020
121216a468863
136b4ca80453
14375982597d
151d6b1e9d3c
hex10f9f270cb

72912892107 has 32 divisors (see below), whose sum is σ = 107697703680. Its totient is φ = 43505953920.

The previous prime is 72912892099. The next prime is 72912892109. The reversal of 72912892107 is 70129821927.

It is a happy number.

It is not a de Polignac number, because 72912892107 - 23 = 72912892099 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (72912892109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4477993 + ... + 4494245.

It is an arithmetic number, because the mean of its divisors is an integer number (3365553240).

Almost surely, 272912892107 is an apocalyptic number.

72912892107 is a deficient number, since it is larger than the sum of its proper divisors (34784811573).

72912892107 is a wasteful number, since it uses less digits than its factorization.

72912892107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18363.

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 72912892107 in words is "seventy-two billion, nine hundred twelve million, eight hundred ninety-two thousand, one hundred seven".

Divisors: 1 3 11 33 67 201 737 2029 2211 6087 16253 22319 48759 66957 135943 178783 407829 536349 1088951 1495373 3266853 4486119 11978461 32977337 35935383 98932011 362750707 1088252121 2209481579 6628444737 24304297369 72912892107