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11616111616 = 21083971409
BaseRepresentation
bin10101101000101111…
…11100110000000000
31002222112202121111011
422310113330300000
5142242211032431
65200353330304
7560600214424
oct126427746000
932875677434
1011616111616
114a20aa064a
122302266994
131131774835
147c2a4cb84
1547ebe0cb1
hex2b45fcc00

11616111616 has 88 divisors (see below), whose sum is σ = 23759774640. Its totient is φ = 5674893312.

The previous prime is 11616111581. The next prime is 11616111623. The reversal of 11616111616 is 61611161611.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8243520 + ... + 8244928.

Almost surely, 211616111616 is an apocalyptic number.

11616111616 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 11616111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879887320).

11616111616 is an abundant number, since it is smaller than the sum of its proper divisors (12143663024).

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

11616111616 is an equidigital number, since it uses as much as digits as its factorization.

11616111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1591 counting only the distinct ones).

The product of its digits is 1296, while the sum is 31.

It can be divided in two parts, 11 and 616111616, that multiplied together give a palindrome (6777227776).

The spelling of 11616111616 in words is "eleven billion, six hundred sixteen million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 97 128 166 194 256 332 388 512 664 776 1024 1328 1409 1552 2656 2818 3104 5312 5636 6208 8051 10624 11272 12416 16102 21248 22544 24832 32204 42496 45088 49664 64408 84992 90176 99328 116947 128816 136673 180352 233894 257632 273346 360704 467788 515264 546692 721408 935576 1030528 1093384 1442816 1871152 2061056 2186768 3742304 4122112 4373536 7484608 8244224 8747072 11343859 14969216 17494144 22687718 29938432 34988288 45375436 59876864 69976576 90750872 119753728 139953152 181501744 363003488 726006976 1452013952 2904027904 5808055808 11616111616