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10340521542 = 2321323798969
BaseRepresentation
bin10011010000101011…
…11101011001000110
3222200122111220212100
421220111331121012
5132134133142132
64430025132530
7514150661061
oct115025753106
928618456770
1010340521542
114426a5597a
12200702a146
13c8a405300
147014838d8
15407c2337c
hex26857d646

10340521542 has 72 divisors (see below), whose sum is σ = 24327178200. Its totient is φ = 3172950144.

The previous prime is 10340521537. The next prime is 10340521649. The reversal of 10340521542 is 24512504301.

10340521542 is a `hidden beast` number, since 1 + 0 + 3 + 405 + 215 + 42 = 666.

10340521542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1148434 + ... + 1157402.

It is an arithmetic number, because the mean of its divisors is an integer number (337877475).

Almost surely, 210340521542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340521542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163589100).

10340521542 is an abundant number, since it is smaller than the sum of its proper divisors (13986656658).

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

10340521542 is a wasteful number, since it uses less digits than its factorization.

10340521542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10340521542 in words is "ten billion, three hundred forty million, five hundred twenty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 379 507 758 1014 1137 1521 2274 3042 3411 4927 6822 8969 9854 14781 17938 26907 29562 44343 53814 64051 80721 88686 116597 128102 161442 192153 233194 349791 384306 576459 699582 1049373 1152918 1515761 2098746 3031522 3399251 4547283 6798502 9094566 10197753 13641849 20395506 27283698 30593259 44190263 61186518 88380526 132570789 265141578 397712367 574473419 795424734 1148946838 1723420257 3446840514 5170260771 10340521542