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36642505121 is a prime number
BaseRepresentation
bin100010001000000100…
…000100000110100001
310111120200100010101022
4202020010010012201
51100020440130441
624500000015225
72435015103665
oct421004040641
9114520303338
1036642505121
11145a3814492
127127601515
1335bc5bc5c1
141ab87068a5
15e46d7884b
hex8881041a1

36642505121 has 2 divisors, whose sum is σ = 36642505122. Its totient is φ = 36642505120.

The previous prime is 36642505099. The next prime is 36642505187. The reversal of 36642505121 is 12150524663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35564302225 + 1078202896 = 188585^2 + 32836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36642505121 is a prime.

It is a super-2 number, since 2×366425051212 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36642505321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18321252560 + 18321252561.

It is an arithmetic number, because the mean of its divisors is an integer number (18321252561).

Almost surely, 236642505121 is an apocalyptic number.

It is an amenable number.

36642505121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36642505121 is an equidigital number, since it uses as much as digits as its factorization.

36642505121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 36642505121 in words is "thirty-six billion, six hundred forty-two million, five hundred five thousand, one hundred twenty-one".