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11904590208 = 27378874993
BaseRepresentation
bin10110001011001000…
…11010000110000000
31010201122120211201110
423011210122012000
5143340033341313
65245140403320
7601002230040
oct130544320600
933648524643
1011904590208
115059915905
1223829a6540
13117946a424
1480d0a3720
1549a1c5ec3
hex2c591a180

11904590208 has 128 divisors (see below), whose sum is σ = 36186923520. Its totient is φ = 3396796416.

The previous prime is 11904590207. The next prime is 11904590231. The reversal of 11904590208 is 80209540911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11904590207) 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, 2381760 + ... + 2386752.

It is an arithmetic number, because the mean of its divisors is an integer number (282710340).

Almost surely, 211904590208 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 11904590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093461760).

11904590208 is an abundant number, since it is smaller than the sum of its proper divisors (24282333312).

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

11904590208 is an equidigital number, since it uses as much as digits as its factorization.

11904590208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11904590208 in words is "eleven billion, nine hundred four million, five hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 887 896 1344 1774 2661 2688 3548 4993 5322 6209 7096 9986 10644 12418 14192 14979 18627 19972 21288 24836 28384 29958 34951 37254 39944 42576 49672 56768 59916 69902 74508 79888 85152 99344 104853 113536 119832 139804 149016 159776 170304 198688 209706 239664 279608 298032 319552 340608 397376 419412 479328 559216 596064 639104 794752 838824 958656 1118432 1192128 1677648 1917312 2236864 2384256 3355296 4428791 4473728 6710592 8857582 13286373 13421184 17715164 26572746 31001537 35430328 53145492 62003074 70860656 93004611 106290984 124006148 141721312 186009222 212581968 248012296 283442624 372018444 425163936 496024592 566885248 744036888 850327872 992049184 1488073776 1700655744 1984098368 2976147552 3968196736 5952295104 11904590208