Search a number
-
+
113672064985416 = 23327225539811479
BaseRepresentation
bin11001110110001001010111…
…000011011110100101001000
3112220110221110122122200101100
4121312021113003132211020
5104344400342114013131
61041432120432221400
732641351511063160
oct3166112703364510
9486427418580340
10113672064985416
1133246063294653
12108ba4a869a860
134b572ca954762
14200da860675a0
15d21d108327e6
hex6762570de948

113672064985416 has 48 divisors (see below), whose sum is σ = 351842105908800. Its totient is φ = 32477732852832.

The previous prime is 113672064985361. The next prime is 113672064985463. The reversal of 113672064985416 is 614589460276311.

113672064985416 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 7 + 20 + 64 + 9 + 8 + 541 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112769905236 + ... + 112769906243.

It is an arithmetic number, because the mean of its divisors is an integer number (7330043873100).

It is a 1-persistent number, because it is pandigital, but 2⋅113672064985416 = 227344129970832 is not.

Almost surely, 2113672064985416 is an apocalyptic number.

It is an amenable number.

113672064985416 is an abundant number, since it is smaller than the sum of its proper divisors (238170040923384).

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

113672064985416 is a wasteful number, since it uses less digits than its factorization.

113672064985416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225539811498 (or 225539811491 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 113672064985416 in words is "one hundred thirteen trillion, six hundred seventy-two billion, sixty-four million, nine hundred eighty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 225539811479 451079622958 676619434437 902159245916 1353238868874 1578778680353 1804318491832 2029858303311 2706477737748 3157557360706 4059716606622 4736336041059 5412955475496 6315114721412 8119433213244 9472672082118 12630229442824 14209008123177 16238866426488 18945344164236 28418016246354 37890688328472 56836032492708 113672064985416