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11664230416 = 24191372291223
BaseRepresentation
bin10101101110011111…
…00000100000010000
31010002220022022001221
422313033200200100
5142342020333131
65205232534424
7562023215446
oct126717404020
933086268057
1011664230416
114a46176a53
1223163b1414
13113b7218b7
147c91b6b96
15484048411
hex2b73e0810

11664230416 has 80 divisors (see below), whose sum is σ = 24086851200. Its totient is φ = 5456415744.

The previous prime is 11664230363. The next prime is 11664230423. The reversal of 11664230416 is 61403246611.

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, 9536781 + ... + 9538003.

It is an arithmetic number, because the mean of its divisors is an integer number (301085640).

Almost surely, 211664230416 is an apocalyptic number.

11664230416 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 11664230416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043425600).

11664230416 is an abundant number, since it is smaller than the sum of its proper divisors (12422620784).

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

11664230416 is a wasteful number, since it uses less digits than its factorization.

11664230416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 11664230416 in words is "eleven billion, six hundred sixty-four million, two hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 137 152 229 274 304 458 548 916 1096 1223 1832 2192 2446 2603 3664 4351 4892 5206 8702 9784 10412 17404 19568 20824 23237 31373 34808 41648 46474 62746 69616 92948 125492 167551 185896 250984 280067 335102 371792 501968 560134 596087 670204 1120268 1192174 1340408 2240536 2384348 2680816 3183469 4481072 4768696 5321273 6366938 9537392 10642546 12733876 21285092 25467752 38369179 42570184 50935504 76738358 85140368 153476716 306953432 613906864 729014401 1458028802 2916057604 5832115208 11664230416