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12716621824 = 2148812
BaseRepresentation
bin10111101011111100…
…00100000000000000
31012211020120022200111
423311332010000000
5202020423344244
65501505201104
7630062334124
oct136576040000
935736508614
1012716621824
115436224215
12256a930194
1312787737ca
14888c81584
154e6627e34
hex2f5f84000

12716621824 has 45 divisors (see below), whose sum is σ = 25461367981. Its totient is φ = 6351093760.

The previous prime is 12716621791. The next prime is 12716621849. The reversal of 12716621824 is 42812661721.

The square root of 12716621824 is 112768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2230861824 + 10485760000 = 47232^2 + 102400^2 .

It is a super-2 number, since 2×127166218242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14433864 + ... + 14434744.

Almost surely, 212716621824 is an apocalyptic number.

12716621824 is the 112768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12716621824

12716621824 is an abundant number, since it is smaller than the sum of its proper divisors (12744746157).

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

12716621824 is an frugal number, since it uses more digits than its factorization.

12716621824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 883 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The spelling of 12716621824 in words is "twelve billion, seven hundred sixteen million, six hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 881 1024 1762 2048 3524 4096 7048 8192 14096 16384 28192 56384 112768 225536 451072 776161 902144 1552322 1804288 3104644 3608576 6209288 7217152 12418576 14434304 24837152 49674304 99348608 198697216 397394432 794788864 1589577728 3179155456 6358310912 12716621824