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10816059631616 = 21129389468157
BaseRepresentation
bin1001110101100100111101…
…1001000110100000000000
31102022000010210101210210222
42131121033121012200000
52404202242231202431
635000455035042212
72164302016640621
oct235311731064000
942260123353728
1010816059631616
1134a0079762738
1212682845a0368
13605c473394a5
14295700309a48
1513b53d0a957b
hex9d64f646800

10816059631616 has 96 divisors (see below), whose sum is σ = 22430152017000. Its totient is φ = 5208111906816.

The previous prime is 10816059631579. The next prime is 10816059631627. The reversal of 10816059631616 is 61613695061801.

It can be written as a sum of positive squares in 4 ways, for example, as 4432877593600 + 6383182038016 = 2105440^2 + 2526496^2 .

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, 22869410 + ... + 23337566.

Almost surely, 210816059631616 is an apocalyptic number.

10816059631616 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 10816059631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11215076008500).

10816059631616 is an abundant number, since it is smaller than the sum of its proper divisors (11614092385384).

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

10816059631616 is an equidigital number, since it uses as much as digits as its factorization.

10816059631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468597 (or 468577 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 10816059631616 in words is "ten trillion, eight hundred sixteen billion, fifty-nine million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 389 464 512 778 928 1024 1556 1856 2048 3112 3712 6224 7424 11281 12448 14848 22562 24896 29696 45124 49792 59392 90248 99584 180496 199168 360992 398336 468157 721984 796672 936314 1443968 1872628 2887936 3745256 5775872 7490512 11551744 13576553 14981024 23103488 27153106 29962048 54306212 59924096 108612424 119848192 182113073 217224848 239696384 364226146 434449696 479392768 728452292 868899392 958785536 1456904584 1737798784 2913809168 3475597568 5281279117 5827618336 6951195136 10562558234 11655236672 13902390272 21125116468 23310473344 27804780544 42250232936 46620946688 84500465872 93241893376 169000931744 186483786752 338001863488 372967573504 676003726976 1352007453952 2704014907904 5408029815808 10816059631616