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102906812769 = 3971675921101
BaseRepresentation
bin101111111010110111…
…0010101100101100001
3100211121202022201201220
41133311232111211201
53141223121002034
6115135202045253
710302061322205
oct1376556254541
9324552281656
10102906812769
113a708238602
1217b3b349829
13991cac73b7
144da312ab05
152a24522749
hex17f5b95961

102906812769 has 16 divisors (see below), whose sum is σ = 138638451840. Its totient is φ = 67890009600.

The previous prime is 102906812761. The next prime is 102906812777. The reversal of 102906812769 is 967218609201.

It is an interprime number because it is at equal distance from previous prime (102906812761) and next prime (102906812777).

It is not a de Polignac number, because 102906812769 - 23 = 102906812761 is a prime.

It is a super-2 number, since 2×1029068127692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102906812761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866319 + ... + 4887419.

It is an arithmetic number, because the mean of its divisors is an integer number (8664903240).

Almost surely, 2102906812769 is an apocalyptic number.

It is an amenable number.

102906812769 is a deficient number, since it is larger than the sum of its proper divisors (35731639071).

102906812769 is a wasteful number, since it uses less digits than its factorization.

102906812769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37960.

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 102906812769 in words is "one hundred two billion, nine hundred six million, eight hundred twelve thousand, seven hundred sixty-nine".

Divisors: 1 3 97 291 16759 21101 50277 63303 1625623 2046797 4876869 6140391 353631659 1060894977 34302270923 102906812769