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10142653246010 = 25171117370914401
BaseRepresentation
bin1001001110011000010100…
…1111100110101000111010
31022220121221221110222212022
42103212011033212220322
52312134123212333020
633323245351114442
72064532255051565
oct223460517465072
938817857428768
1010142653246010
11326052538015a
12117986a072a22
135875a961416c
14270c9ac9d4dc
15128c78a61625
hex939853e6a3a

10142653246010 has 64 divisors (see below), whose sum is σ = 19354570129440. Its totient is φ = 3813698764800.

The previous prime is 10142653245953. The next prime is 10142653246057. The reversal of 10142653246010 is 1064235624101.

10142653246010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1877390492041 + 8265262753969 = 1370179^2 + 2874937^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704294810 + ... + 704309210.

Almost surely, 210142653246010 is an apocalyptic number.

10142653246010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10142653246010 is a deficient number, since it is larger than the sum of its proper divisors (9211916883430).

10142653246010 is a wasteful number, since it uses less digits than its factorization.

10142653246010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19251.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 10142653246010 in words is "ten trillion, one hundred forty-two billion, six hundred fifty-three million, two hundred forty-six thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 1117 2234 3709 5585 7418 11170 14401 18545 18989 28802 37090 37978 63053 72005 94945 126106 144010 189890 244817 315265 489634 630530 1224085 2448170 4142953 8285906 16085917 20714765 32171834 41429530 53413309 70430201 80429585 106826618 140860402 160859170 267066545 273460589 352151005 534133090 546921178 704302010 908026253 1367302945 1816052506 2734605890 4540131265 9080262530 59662666153 119325332306 298313330765 596626661530 1014265324601 2028530649202 5071326623005 10142653246010