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116355756240 = 24325161605217
BaseRepresentation
bin110110001011101010…
…1111111000011010000
3102010100000212211212100
41230113111333003100
53401244033144430
6125241511400400
711256255416013
oct1542725770320
9363300784770
10116355756240
1145389877919
121a673383100
13ac841b5c09
1458bb35b37a
1530600a4960
hex1b1757f0d0

116355756240 has 60 divisors (see below), whose sum is σ = 390761417124. Its totient is φ = 31028201472.

The previous prime is 116355756227. The next prime is 116355756241. The reversal of 116355756240 is 42657553611.

116355756240 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 557 + 56 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31960858176 + 84394898064 = 178776^2 + 290508^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116355756241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80801889 + ... + 80803328.

Almost surely, 2116355756240 is an apocalyptic number.

116355756240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116355756240 is an abundant number, since it is smaller than the sum of its proper divisors (274405660884).

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

116355756240 is a wasteful number, since it uses less digits than its factorization.

116355756240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161605236 (or 161605227 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 116355756240 in words is "one hundred sixteen billion, three hundred fifty-five million, seven hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 161605217 323210434 484815651 646420868 808026085 969631302 1292841736 1454446953 1616052170 1939262604 2424078255 2585683472 2908893906 3232104340 3878525208 4848156510 5817787812 6464208680 7272234765 7757050416 9696313020 11635575624 12928417360 14544469530 19392626040 23271151248 29088939060 38785252080 58177878120 116355756240