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102786253949 = 2331871402249
BaseRepresentation
bin101111110111010001…
…0011100010001111101
3100211022100110201010102
41133232202130101331
53141001240111244
6115115214050445
710266065512601
oct1375642342175
9324270421112
10102786253949
113a656184a15
1217b06aa9a25
139900b36012
144d91107501
152a18b5b54e
hex17ee89c47d

102786253949 has 8 divisors (see below), whose sum is σ = 107288952000. Its totient is φ = 98286366816.

The previous prime is 102786253891. The next prime is 102786253951. The reversal of 102786253949 is 949352687201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102786253949 - 220 = 102785205373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102786253894 and 102786253903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102786253049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627824 + ... + 774425.

It is an arithmetic number, because the mean of its divisors is an integer number (13411119000).

It is a 1-persistent number, because it is pandigital, but 2⋅102786253949 = 205572507898 is not.

Almost surely, 2102786253949 is an apocalyptic number.

It is an amenable number.

102786253949 is a deficient number, since it is larger than the sum of its proper divisors (4502698051).

102786253949 is a wasteful number, since it uses less digits than its factorization.

102786253949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405459.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 102786253949 in words is "one hundred two billion, seven hundred eighty-six million, two hundred fifty-three thousand, nine hundred forty-nine".

Divisors: 1 23 3187 73301 1402249 32251727 4468967563 102786253949