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11359996256 = 257475320359
BaseRepresentation
bin10101001010001101…
…11100100101100000
31002022200211121021002
422211012330211200
5141231124340011
65115124051132
7551340242420
oct124506744540
932280747232
1011359996256
1148aa470364
122250533aa8
1310c06a079b
1479aa20480
1546749ec3b
hex2a51bc960

11359996256 has 96 divisors (see below), whose sum is σ = 26597652480. Its totient is φ = 4674848256.

The previous prime is 11359996229. The next prime is 11359996289. The reversal of 11359996256 is 65269995311.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547805 + ... + 568163.

It is an arithmetic number, because the mean of its divisors is an integer number (277058880).

Almost surely, 211359996256 is an apocalyptic number.

11359996256 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 11359996256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298826240).

11359996256 is an abundant number, since it is smaller than the sum of its proper divisors (15237656224).

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

11359996256 is a wasteful number, since it uses less digits than its factorization.

11359996256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20476 (or 20468 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 56.

The spelling of 11359996256 in words is "eleven billion, three hundred fifty-nine million, nine hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 53 56 94 106 112 188 212 224 329 371 376 424 658 742 752 848 1316 1484 1504 1696 2491 2632 2968 4982 5264 5936 9964 10528 11872 17437 19928 20359 34874 39856 40718 69748 79712 81436 139496 142513 162872 278992 285026 325744 557984 570052 651488 956873 1079027 1140104 1913746 2158054 2280208 3827492 4316108 4560416 6698111 7553189 7654984 8632216 13396222 15106378 15309968 17264432 26792444 30212756 30619936 34528864 50714269 53584888 60425512 101428538 107169776 120851024 202857076 214339552 241702048 354999883 405714152 709999766 811428304 1419999532 1622856608 2839999064 5679998128 11359996256