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102183126793489 = 7214440812
BaseRepresentation
bin10111001110111101011100…
…111110010111110100010001
3111101210121111210112100210201
4113032331130332113310101
5101343132020424342424
61001154140322255201
730344326065540400
oct2716753476276421
9441717453470721
10102183126793489
112a616691191395
12b5639364b7501
134502a9b06b201
141b3399286b637
15bc303e742d44
hex5cef5cf97d11

102183126793489 has 9 divisors (see below), whose sum is σ = 118866168582651. Its totient is φ = 87585476600160.

The previous prime is 102183126793427. The next prime is 102183126793493. The reversal of 102183126793489 is 984397621381201.

The square root of 102183126793489 is 10108567.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 95065756527889 + 7117370265600 = 9750167^2 + 2667840^2 .

It is not a de Polignac number, because 102183126793489 - 215 = 102183126760721 is a prime.

It is a super-3 number, since 3×1021831267934893 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102183126793489.

It is not an unprimeable number, because it can be changed into a prime (102183126793409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70037929 + ... + 71482009.

It is an arithmetic number, because the mean of its divisors is an integer number (13207352064739).

Almost surely, 2102183126793489 is an apocalyptic number.

102183126793489 is the 10108567-th square number.

102183126793489 is the 5054284-th centered octagonal number.

It is an amenable number.

102183126793489 is a deficient number, since it is larger than the sum of its proper divisors (16683041789162).

102183126793489 is an frugal number, since it uses more digits than its factorization.

102183126793489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888176 (or 1444088 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

The spelling of 102183126793489 in words is "one hundred two trillion, one hundred eighty-three billion, one hundred twenty-six million, seven hundred ninety-three thousand, four hundred eighty-nine".

Divisors: 1 7 49 1444081 10108567 70759969 2085369934561 14597589541927 102183126793489