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10642138295 = 5172367113719
BaseRepresentation
bin10011110100101001…
…00010010010110111
31000110200001122021012
421322110202102313
5133243341411140
64520001542435
7524502453155
oct117224422267
930420048235
1010642138295
114571234018
122090044a1b
131007a4ac69
1472d5583d5
15424451265
hex27a5224b7

10642138295 has 64 divisors (see below), whose sum is σ = 14467092480. Its totient is φ = 7472898048.

The previous prime is 10642138291. The next prime is 10642138313. The reversal of 10642138295 is 59283124601.

10642138295 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10642138295 - 22 = 10642138291 is a prime.

It is a super-2 number, since 2×106421382952 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642138291) 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 63 ways as a sum of consecutive naturals, for example, 14800946 + ... + 14801664.

It is an arithmetic number, because the mean of its divisors is an integer number (226048320).

Almost surely, 210642138295 is an apocalyptic number.

10642138295 is a deficient number, since it is larger than the sum of its proper divisors (3824954185).

10642138295 is a wasteful number, since it uses less digits than its factorization.

10642138295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 10642138295 in words is "ten billion, six hundred forty-two million, one hundred thirty-eight thousand, two hundred ninety-five".

Divisors: 1 5 17 23 67 85 113 115 335 391 565 719 1139 1541 1921 1955 2599 3595 5695 7571 7705 9605 12223 12995 16537 26197 37855 44183 48173 61115 81247 82685 128707 130985 174133 220915 240865 281129 406235 643535 818941 870665 1107979 1381199 1405645 1868681 2960261 4094705 5443549 5539895 6905995 9343405 14801305 18835643 27217745 31767577 92540333 94178215 125201627 158837885 462701665 626008135 2128427659 10642138295