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12704858096 = 2477314910429
BaseRepresentation
bin10111101010100010…
…01011111111110000
31012210102102122212212
423311101023333300
5202004420424341
65500405111252
7626560340420
oct136521137760
935712378785
1012704858096
11542a619a27
1225669b8528
1312761b5218
1488749c480
154e55a25eb
hex2f544bff0

12704858096 has 80 divisors (see below), whose sum is σ = 28711704000. Its totient is φ = 5333796864.

The previous prime is 12704858093. The next prime is 12704858129. The reversal of 12704858096 is 69085840721.

It is a super-2 number, since 2×127048580962 (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 (12704858093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213010 + ... + 1223438.

It is an arithmetic number, because the mean of its divisors is an integer number (358896300).

Almost surely, 212704858096 is an apocalyptic number.

12704858096 is a gapful number since it is divisible by the number (16) 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 12704858096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355852000).

12704858096 is an abundant number, since it is smaller than the sum of its proper divisors (16006845904).

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

12704858096 is a wasteful number, since it uses less digits than its factorization.

12704858096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 12704858096 in words is "twelve billion, seven hundred four million, eight hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 149 292 298 511 584 596 1022 1043 1168 1192 2044 2086 2384 4088 4172 8176 8344 10429 10877 16688 20858 21754 41716 43508 73003 76139 83432 87016 146006 152278 166864 174032 292012 304556 584024 609112 761317 1168048 1218224 1522634 1553921 3045268 3107842 5329219 6090536 6215684 10658438 10877447 12181072 12431368 21316876 21754894 24862736 42633752 43509788 85267504 87019576 113436233 174039152 226872466 453744932 794053631 907489864 1588107262 1814979728 3176214524 6352429048 12704858096