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102564275489 = 1352981148913
BaseRepresentation
bin101111110000101001…
…1101010010100100001
3100210201212210000220222
41133201103222110201
53140022423303424
6115041204212425
710260431646224
oct1374123522441
9323655700828
10102564275489
113a551950245
1217a6469a115
139896b54c10
144d6d8435bb
152a0440ee5e
hex17e14ea521

102564275489 has 8 divisors (see below), whose sum is σ = 110456661672. Its totient is φ = 94672293120.

The previous prime is 102564275483. The next prime is 102564275501. The reversal of 102564275489 is 984572465201.

It can be written as a sum of positive squares in 4 ways, for example, as 18200168464 + 84364107025 = 134908^2 + 290455^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102564275489 is a prime.

It is a super-3 number, since 3×1025642754893 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102564275489.

It is not an unprimeable number, because it can be changed into a prime (102564275483) 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, 614297 + ... + 763209.

It is an arithmetic number, because the mean of its divisors is an integer number (13807082709).

Almost surely, 2102564275489 is an apocalyptic number.

It is an amenable number.

102564275489 is a deficient number, since it is larger than the sum of its proper divisors (7892386183).

102564275489 is a wasteful number, since it uses less digits than its factorization.

102564275489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201907.

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 102564275489 in words is "one hundred two billion, five hundred sixty-four million, two hundred seventy-five thousand, four hundred eighty-nine".

Divisors: 1 13 52981 148913 688753 1935869 7889559653 102564275489