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11828937536 = 2613232712281
BaseRepresentation
bin10110000010000111…
…10100001101000000
31010112101020021202122
423001003310031000
5143211202000121
65233435103412
7566063211233
oct130103641500
933471207678
1011828937536
115020143939
1223615a1b68
13116689ca30
1480300d41a
154937305ab
hex2c10f4340

11828937536 has 112 divisors (see below), whose sum is σ = 26486681088. Its totient is φ = 5200588800.

The previous prime is 11828937529. The next prime is 11828937551. The reversal of 11828937536 is 63573982811.

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, 5184716 + ... + 5186996.

It is an arithmetic number, because the mean of its divisors is an integer number (236488224).

Almost surely, 211828937536 is an apocalyptic number.

11828937536 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 11828937536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243340544).

11828937536 is an abundant number, since it is smaller than the sum of its proper divisors (14657743552).

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

11828937536 is a wasteful number, since it uses less digits than its factorization.

11828937536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2590 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The spelling of 11828937536 in words is "eleven billion, eight hundred twenty-eight million, nine hundred thirty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 271 299 368 416 542 598 736 832 1084 1196 1472 2168 2281 2392 3523 4336 4562 4784 6233 7046 8672 9124 9568 12466 14092 17344 18248 19136 24932 28184 29653 36496 49864 52463 56368 59306 72992 81029 99728 104926 112736 118612 145984 162058 199456 209852 225472 237224 324116 398912 419704 474448 618151 648232 682019 839408 948896 1236302 1296464 1364038 1678816 1897792 2472604 2592928 2728076 3357632 4945208 5185856 5456152 8035963 9890416 10912304 14217473 16071926 19780832 21824608 28434946 32143852 39561664 43649216 56869892 64287704 113739784 128575408 184827149 227479568 257150816 369654298 454959136 514301632 739308596 909918272 1478617192 2957234384 5914468768 11828937536