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103693439853 = 32172947514919
BaseRepresentation
bin110000010010010011…
…1000101001101101101
3100220122120111112020100
41200210213011031231
53144331010033403
6115345222141313
710330422460503
oct1404447051555
9326576445210
10103693439853
113aa81275133
121811a881839
139a16a77403
1450397b4673
152a6d6072a3
hex18249c536d

103693439853 has 48 divisors (see below), whose sum is σ = 164126476800. Its totient is φ = 62793024000.

The previous prime is 103693439833. The next prime is 103693439891. The reversal of 103693439853 is 358934396301.

103693439853 is a `hidden beast` number, since 10 + 36 + 93 + 439 + 85 + 3 = 666.

It is not a de Polignac number, because 103693439853 - 212 = 103693435757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103693439853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103693439813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21077728 + ... + 21082646.

It is an arithmetic number, because the mean of its divisors is an integer number (3419301600).

Almost surely, 2103693439853 is an apocalyptic number.

It is an amenable number.

103693439853 is a deficient number, since it is larger than the sum of its proper divisors (60433036947).

103693439853 is a wasteful number, since it uses less digits than its factorization.

103693439853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 103693439853 in words is "one hundred three billion, six hundred ninety-three million, four hundred thirty-nine thousand, eight hundred fifty-three".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 4751 4919 14253 14757 42759 44271 80767 83623 137779 142651 242301 250869 413337 427953 726903 752607 1240011 1283859 2342243 2425067 7026729 7275201 21080187 21825603 23370169 70110507 210331521 397292873 677734901 1191878619 2033204703 3575635857 6099614109 11521493317 34564479951 103693439853