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11343100656 = 2433714334457
BaseRepresentation
bin10101001000001100…
…11111101011110000
31002021112001012212010
422210012133223300
5141212313210111
65113322002520
7551043523206
oct124406375360
932245035763
1011343100656
1148a0980458
122246946440
1310ba0363a4
147986a3076
15465c63aa6
hex2a419faf0

11343100656 has 80 divisors (see below), whose sum is σ = 30122741664. Its totient is φ = 3675451392.

The previous prime is 11343100633. The next prime is 11343100721. The reversal of 11343100656 is 65600134311.

11343100656 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 15 ways as a sum of consecutive naturals, for example, 2542780 + ... + 2547236.

Almost surely, 211343100656 is an apocalyptic number.

11343100656 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 11343100656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061370832).

11343100656 is an abundant number, since it is smaller than the sum of its proper divisors (18779641008).

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

11343100656 is a wasteful number, since it uses less digits than its factorization.

11343100656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 11343100656 its reverse (65600134311), we get a palindrome (76943234967).

The spelling of 11343100656 in words is "eleven billion, three hundred forty-three million, one hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1433 1776 2866 4299 4457 5732 8598 8914 11464 13371 17196 17828 22928 26742 34392 35656 53021 53484 68784 71312 106042 106968 159063 164909 212084 213936 318126 329818 424168 494727 636252 659636 848336 989454 1272504 1319272 1978908 2545008 2638544 3957816 6386881 7915632 12773762 19160643 25547524 38321286 51095048 76642572 102190096 153285144 236314597 306570288 472629194 708943791 945258388 1417887582 1890516776 2835775164 3781033552 5671550328 11343100656