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12705393350 = 2521359331301
BaseRepresentation
bin10111101010100110…
…01110101011000110
31012210110102212010002
423311103032223012
5202010040041400
65500424401302
7626565030056
oct136523165306
935713385102
1012705393350
11542a955091
122567016232
131276341a40
1488759b566
154e565aed5
hex2f54ceac6

12705393350 has 48 divisors (see below), whose sum is σ = 25881312240. Its totient is φ = 4611696000.

The previous prime is 12705393341. The next prime is 12705393353. The reversal of 12705393350 is 5339350721.

It is a super-2 number, since 2×127053933502 (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 (12705393353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 127301 + ... + 204000.

It is an arithmetic number, because the mean of its divisors is an integer number (539194005).

Almost surely, 212705393350 is an apocalyptic number.

12705393350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12705393350 is an abundant number, since it is smaller than the sum of its proper divisors (13175918890).

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

12705393350 is a wasteful number, since it uses less digits than its factorization.

12705393350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331385 (or 331380 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 38.

The spelling of 12705393350 in words is "twelve billion, seven hundred five million, three hundred ninety-three thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 59 65 118 130 295 325 590 650 767 1475 1534 2950 3835 7670 19175 38350 331301 662602 1656505 3313010 4306913 8282525 8613826 16565050 19546759 21534565 39093518 43069130 97733795 107672825 195467590 215345650 254107867 488668975 508215734 977337950 1270539335 2541078670 6352696675 12705393350