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11873671216 = 24111719210993
BaseRepresentation
bin10110000111011100…
…11101100000110000
31010122111101222211121
423003232131200300
5143304124434331
65242113552024
7600145353151
oct130356354060
933574358747
1011873671216
115043417a20
122374575614
131172c33074
14808d35928
15497619c11
hex2c3b9d830

11873671216 has 120 divisors (see below), whose sum is σ = 28047628944. Its totient is φ = 4811857920.

The previous prime is 11873671207. The next prime is 11873671247. The reversal of 11873671216 is 61217637811.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074616 + ... + 1085608.

Almost surely, 211873671216 is an apocalyptic number.

11873671216 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 11873671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023814472).

11873671216 is an abundant number, since it is smaller than the sum of its proper divisors (16173957728).

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

11873671216 is a wasteful number, since it uses less digits than its factorization.

11873671216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11042 counting only the distinct ones).

The product of its digits is 84672, while the sum is 43.

The spelling of 11873671216 in words is "eleven billion, eight hundred seventy-three million, six hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 361 374 418 646 722 748 836 1292 1444 1496 1672 2584 2888 2992 3344 3553 3971 5168 5776 6137 7106 7942 10993 12274 14212 15884 21986 24548 28424 31768 43972 49096 56848 63536 67507 87944 98192 120923 135014 175888 186881 208867 241846 270028 373762 417734 483692 540056 747524 835468 967384 1080112 1495048 1670936 1934768 2055691 2297537 2990096 3341872 3550739 3968473 4111382 4595074 7101478 7936946 8222764 9190148 14202956 15873892 16445528 18380296 28405912 31747784 32891056 36760592 39058129 43653203 56811824 63495568 67464041 78116258 87306406 134928082 156232516 174612812 269856164 312465032 349225624 539712328 624930064 698451248 742104451 1079424656 1484208902 2968417804 5936835608 11873671216