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10062134292 = 22372910140897
BaseRepresentation
bin10010101111011111…
…11111110000010100
3221222020200101100110
421113233333300110
5131101401244132
64342242243020
7504230505330
oct112757776024
927866611313
1010062134292
1142a38a3471
121b49956470
13c44833a22
146b64d87c0
153dd5831cc
hex257bffc14

10062134292 has 96 divisors (see below), whose sum is σ = 28033125120. Its totient is φ = 2748211200.

The previous prime is 10062134273. The next prime is 10062134297. The reversal of 10062134292 is 29243126001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10062134297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225588 + ... + 266484.

It is an arithmetic number, because the mean of its divisors is an integer number (292011720).

Almost surely, 210062134292 is an apocalyptic number.

10062134292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10062134292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016562560).

10062134292 is an abundant number, since it is smaller than the sum of its proper divisors (17970990828).

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

10062134292 is a wasteful number, since it uses less digits than its factorization.

10062134292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41041 (or 41039 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10062134292 in words is "ten billion, sixty-two million, one hundred thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 101 116 174 202 203 303 348 404 406 606 609 707 812 1212 1218 1414 2121 2436 2828 2929 4242 5858 8484 8787 11716 17574 20503 35148 40897 41006 61509 81794 82012 122691 123018 163588 245382 246036 286279 490764 572558 858837 1145116 1186013 1717674 2372026 3435348 3558039 4130597 4744052 7116078 8261194 8302091 12391791 14232156 16522388 16604182 24783582 24906273 28914179 33208364 49567164 49812546 57828358 86742537 99625092 115656716 119787313 173485074 239574626 346970148 359361939 479149252 718723878 838511191 1437447756 1677022382 2515533573 3354044764 5031067146 10062134292