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10144151164 = 2272917477151
BaseRepresentation
bin10010111001010001…
…10111011001111100
3222011222000021100101
421130220313121330
5131233400314124
64354332210444
7506244601510
oct113450673174
928158007311
1010144151164
114336121a04
121b71309a24
13c5881c114
146c3368140
153e5884644
hex25ca3767c

10144151164 has 48 divisors (see below), whose sum is σ = 21002849280. Its totient is φ = 4194590400.

The previous prime is 10144151153. The next prime is 10144151177. The reversal of 10144151164 is 46115144101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 1414989 + ... + 1422139.

It is an arithmetic number, because the mean of its divisors is an integer number (437559360).

Almost surely, 210144151164 is an apocalyptic number.

10144151164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10144151164 is an abundant number, since it is smaller than the sum of its proper divisors (10858698116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144151164 is a wasteful number, since it uses less digits than its factorization.

10144151164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 10144151164 its reverse (46115144101), we get a palindrome (56259295265).

The spelling of 10144151164 in words is "ten billion, one hundred forty-four million, one hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1747 3494 6988 7151 12229 14302 24458 28604 48916 50057 50663 100114 101326 200228 202652 207379 354641 414758 709282 829516 1418564 1451653 2903306 5806612 12492797 24985594 49971188 87449579 174899158 349798316 362291113 724582226 1449164452 2536037791 5072075582 10144151164