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10153655705 = 517457261389
BaseRepresentation
bin10010111010011010…
…00111110110011001
3222012121220011010102
421131031013312121
5131243313440310
64355312025145
7506421435524
oct113515076631
928177804112
1010153655705
1143405238a6
121b745321b5
13c5a7992cb
146c471dbbb
153e66108a5
hex25d347d99

10153655705 has 16 divisors (see below), whose sum is σ = 12929394960. Its totient is φ = 7628347392.

The previous prime is 10153655663. The next prime is 10153655713. The reversal of 10153655705 is 50755635101.

It can be written as a sum of positive squares in 8 ways, for example, as 104796169 + 10048859536 = 10237^2 + 100244^2 .

It is a cyclic number.

It is not a de Polignac number, because 10153655705 - 212 = 10153651609 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91850 + ... + 169539.

It is an arithmetic number, because the mean of its divisors is an integer number (808087185).

Almost surely, 210153655705 is an apocalyptic number.

It is an amenable number.

10153655705 is a deficient number, since it is larger than the sum of its proper divisors (2775739255).

10153655705 is a wasteful number, since it uses less digits than its factorization.

10153655705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261868.

The product of its (nonzero) digits is 78750, while the sum is 38.

The spelling of 10153655705 in words is "ten billion, one hundred fifty-three million, six hundred fifty-five thousand, seven hundred five".

Divisors: 1 5 17 85 457 2285 7769 38845 261389 1306945 4443613 22218065 119454773 597273865 2030731141 10153655705