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116200996128 = 25327439131297
BaseRepresentation
bin110110000111000011…
…1100111110100100000
3102002221020200012220100
41230032013213310200
53400434423334003
6125214302342400
711252366112240
oct1541607476440
9362836605810
10116200996128
114530a4842a8
121a62b58aa00
13ac5b10b499
1458a4993b20
1530516d4ba3
hex1b0e1e7d20

116200996128 has 144 divisors (see below), whose sum is σ = 378516378240. Its totient is φ = 33124405248.

The previous prime is 116200996127. The next prime is 116200996139. The reversal of 116200996128 is 821699002611.

116200996128 is a `hidden beast` number, since 1 + 1 + 6 + 20 + 0 + 9 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1162009961282 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116200996123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819376 + ... + 950672.

It is an arithmetic number, because the mean of its divisors is an integer number (2628585960).

Almost surely, 2116200996128 is an apocalyptic number.

116200996128 is a gapful number since it is divisible by the number (18) 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 116200996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189258189120).

116200996128 is an abundant number, since it is smaller than the sum of its proper divisors (262315382112).

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

116200996128 is a wasteful number, since it uses less digits than its factorization.

116200996128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131759 (or 131748 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

Adding to 116200996128 its reverse (821699002611), we get a palindrome (937899998739).

The spelling of 116200996128 in words is "one hundred sixteen billion, two hundred million, nine hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 439 504 672 878 1008 1317 1756 2016 2634 3073 3512 3951 5268 6146 7024 7902 9219 10536 12292 14048 15804 18438 21072 24584 27657 31608 36876 42144 49168 55314 63216 73752 98336 110628 126432 131297 147504 221256 262594 295008 393891 442512 525188 787782 885024 919079 1050376 1181673 1575564 1838158 2100752 2363346 2757237 3151128 3676316 4201504 4726692 5514474 6302256 7352632 8271711 9453384 11028948 12604512 14705264 16543422 18906768 22057896 29410528 33086844 37813536 44115792 57639383 66173688 88231584 115278766 132347376 172918149 230557532 264694752 345836298 403475681 461115064 518754447 691672596 806951362 922230128 1037508894 1210427043 1383345192 1613902724 1844460256 2075017788 2420854086 2766690384 3227805448 3631281129 4150035576 4841708172 5533380768 6455610896 7262562258 8300071152 9683416344 12911221792 14525124516 16600142304 19366832688 29050249032 38733665376 58100498064 116200996128