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11318807328 = 253596313167
BaseRepresentation
bin10101000101010011…
…10100101100100000
31002012211022222200020
422202221310230200
5141140103313303
65111053153440
7550330163163
oct124251645440
932184288606
1011318807328
114889198524
12223a78b880
1310b4caba3a
1479537bada
15463a65a53
hex2a2a74b20

11318807328 has 96 divisors (see below), whose sum is σ = 30272901120. Its totient is φ = 3701940480.

The previous prime is 11318807323. The next prime is 11318807351. The reversal of 11318807328 is 82370881311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11318807328.

It is not an unprimeable number, because it can be changed into a prime (11318807323) 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, 3572401 + ... + 3575567.

It is an arithmetic number, because the mean of its divisors is an integer number (315342720).

Almost surely, 211318807328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11318807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136450560).

11318807328 is an abundant number, since it is smaller than the sum of its proper divisors (18954093792).

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

11318807328 is a wasteful number, since it uses less digits than its factorization.

11318807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 11318807328 in words is "eleven billion, three hundred eighteen million, eight hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 631 708 944 1262 1416 1888 1893 2524 2832 3167 3786 5048 5664 6334 7572 9501 10096 12668 15144 19002 20192 25336 30288 37229 38004 50672 60576 74458 76008 101344 111687 148916 152016 186853 223374 297832 304032 373706 446748 560559 595664 747412 893496 1121118 1191328 1494824 1786992 1998377 2242236 2989648 3573984 3996754 4484472 5979296 5995131 7993508 8968944 11990262 15987016 17937888 23980524 31974032 47961048 63948064 95922096 117904243 191844192 235808486 353712729 471616972 707425458 943233944 1414850916 1886467888 2829701832 3772935776 5659403664 11318807328