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10342485468 = 22327222925603
BaseRepresentation
bin10011010000111010…
…11100110111011100
3222200210012200212100
421220131130313130
5132140134013333
64430135205100
7514203450600
oct115035346734
928623180770
1010342485468
114428077457
122007816790
13c8a9421b3
14701835500
15407eb0213
hex26875cddc

10342485468 has 108 divisors (see below), whose sum is σ = 30545828040. Its totient is φ = 2941977024.

The previous prime is 10342485443. The next prime is 10342485473. The reversal of 10342485468 is 86458424301.

10342485468 is a `hidden beast` number, since 103 + 4 + 2 + 4 + 85 + 468 = 666.

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 35 ways as a sum of consecutive naturals, for example, 391155 + ... + 416757.

Almost surely, 210342485468 is an apocalyptic number.

10342485468 is a gapful number since it is divisible by the number (18) 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 10342485468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15272914020).

10342485468 is an abundant number, since it is smaller than the sum of its proper divisors (20203342572).

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

10342485468 is a wasteful number, since it uses less digits than its factorization.

10342485468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25856 (or 25844 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 10342485468 in words is "ten billion, three hundred forty-two million, four hundred eighty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 229 252 294 441 458 588 687 882 916 1374 1603 1764 2061 2748 3206 4122 4809 6412 8244 9618 11221 14427 19236 22442 25603 28854 33663 44884 51206 57708 67326 76809 100989 102412 134652 153618 179221 201978 230427 307236 358442 403956 460854 537663 716884 921708 1075326 1254547 1612989 2150652 2509094 3225978 3763641 5018188 5863087 6451956 7527282 11290923 11726174 15054564 17589261 22581846 23452348 35178522 41041609 45163692 52767783 70357044 82083218 105535566 123124827 164166436 211071132 246249654 287291263 369374481 492499308 574582526 738748962 861873789 1149165052 1477497924 1723747578 2585621367 3447495156 5171242734 10342485468