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102052773406507 = 7112314286390677
BaseRepresentation
bin10111001101000100000011…
…010011101010011100101011
3111101100011001020122012101011
4113031010003103222130223
5101334013034443002012
61001014221421004351
730332032601201320
oct2715040323523453
9441304036565334
10102052773406507
112a57637a094400
12b5426173b36b7
1344c36c5bc5971
141b2b548492b47
15bbe9608771a7
hex5cd1034ea72b

102052773406507 has 48 divisors (see below), whose sum is σ = 132338508374016. Its totient is φ = 76953783297600.

The previous prime is 102052773406447. The next prime is 102052773406523. The reversal of 102052773406507 is 705604377250201.

It is not a de Polignac number, because 102052773406507 - 219 = 102052772882219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102052773406537) 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 47 ways as a sum of consecutive naturals, for example, 1125408453 + ... + 1125499129.

It is an arithmetic number, because the mean of its divisors is an integer number (2757052257792).

Almost surely, 2102052773406507 is an apocalyptic number.

102052773406507 is a deficient number, since it is larger than the sum of its proper divisors (30285734967509).

102052773406507 is a wasteful number, since it uses less digits than its factorization.

102052773406507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133600 (or 133589 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 102052773406507 in words is "one hundred two trillion, fifty-two billion, seven hundred seventy-three million, four hundred six thousand, five hundred seven".

Divisors: 1 7 11 31 77 121 217 341 847 2387 3751 26257 42863 90677 300041 471493 634739 997447 1328753 2810987 3300451 5186423 6982129 9301271 10971917 14616283 19676909 30920857 36304961 76803419 102313981 160779113 216445999 340129427 1125453791 2380905989 3886688251 27206817757 42753570761 120487335781 299274995327 470289278371 843411350467 1325360693591 3292024948597 9277524855137 14578967629501 102052773406507