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18860601344 = 212131272789
BaseRepresentation
bin10001100100001011…
…011111000000000000
31210200102112211010112
4101210023133000000
5302111303220334
612355304050452
71235245315634
oct214413370000
953612484115
1018860601344
117aa9354a42
1237a4463a28
131a17611050
14cacc4cdc4
15755c014ce
hex4642df000

18860601344 has 104 divisors (see below), whose sum is σ = 40952378880. Its totient is φ = 8633253888.

The previous prime is 18860601343. The next prime is 18860601349. The reversal of 18860601344 is 44310606881.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18860601343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6761102 + ... + 6763890.

Almost surely, 218860601344 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 18860601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476189440).

18860601344 is an abundant number, since it is smaller than the sum of its proper divisors (22091777536).

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

18860601344 is a wasteful number, since it uses less digits than its factorization.

18860601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 18860601344 in words is "eighteen billion, eight hundred sixty million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 512 832 1016 1024 1651 1664 2032 2048 2789 3302 3328 4064 4096 5578 6604 6656 8128 11156 13208 13312 16256 22312 26416 26624 32512 36257 44624 52832 53248 65024 72514 89248 105664 130048 145028 178496 211328 260096 290056 354203 356992 422656 520192 580112 708406 713984 845312 1160224 1416812 1427968 1690624 2320448 2833624 2855936 3381248 4604639 4640896 5667248 5711872 6762496 9209278 9281792 11334496 11423744 18418556 18563584 22668992 36837112 37127168 45337984 73674224 74254336 90675968 147348448 148508672 181351936 294696896 362703872 589393792 725407744 1178787584 1450815488 2357575168 4715150336 9430300672 18860601344