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116144636256 = 25321136661817
BaseRepresentation
bin110110000101011000…
…0101000000101100000
3102002210022121211200200
41230022300220011200
53400331011330011
6125204530345200
711251113055605
oct1541260500540
9362708554620
10116144636256
114529068a2a0
121a61472b200
13ac4c53734c
14589b2c26ac
15304b7a0856
hex1b0ac28160

116144636256 has 72 divisors (see below), whose sum is σ = 360312347304. Its totient is φ = 35195343360.

The previous prime is 116144636203. The next prime is 116144636281. The reversal of 116144636256 is 652636441611.

116144636256 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 4 + 636 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18327741 + ... + 18334076.

It is an arithmetic number, because the mean of its divisors is an integer number (5004338157).

Almost surely, 2116144636256 is an apocalyptic number.

116144636256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116144636256 is an abundant number, since it is smaller than the sum of its proper divisors (244167711048).

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

116144636256 is a wasteful number, since it uses less digits than its factorization.

116144636256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36661844 (or 36661833 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 116144636256 in words is "one hundred sixteen billion, one hundred forty-four million, six hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 36661817 73323634 109985451 146647268 219970902 293294536 329956353 403279987 439941804 586589072 659912706 806559974 879883608 1173178144 1209839961 1319825412 1613119948 1759767216 2419679922 2639650824 3226239896 3519534432 3629519883 4839359844 5279301648 6452479792 7259039766 9678719688 10558603296 12904959584 14518079532 19357439376 29036159064 38714878752 58072318128 116144636256