Search a number
-
+
12335801356677 = 3199531327171131
BaseRepresentation
bin1011001110000010011100…
…0011101101000110000101
31121200021212012120111011210
42303200213003231012011
53104102210121403202
642122553334322033
72412142441315131
oct263404703550605
947607765514153
1012335801356677
113a266472aa287
121472916ab9319
136b635177b6c6
143090ad82a3c1
15165d386a3c6c
hexb38270ed185

12335801356677 has 32 divisors (see below), whose sum is σ = 17344734750720. Its totient is φ = 7776946719360.

The previous prime is 12335801356663. The next prime is 12335801356687. The reversal of 12335801356677 is 77665310853321.

It is not a de Polignac number, because 12335801356677 - 234 = 12318621487493 is a prime.

It is a super-2 number, since 2×123358013566772 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335801356687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71998402 + ... + 72169532.

It is an arithmetic number, because the mean of its divisors is an integer number (542022960960).

Almost surely, 212335801356677 is an apocalyptic number.

It is an amenable number.

12335801356677 is a deficient number, since it is larger than the sum of its proper divisors (5008933394043).

12335801356677 is a wasteful number, since it uses less digits than its factorization.

12335801356677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173433.

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 12335801356677 in words is "twelve trillion, three hundred thirty-five billion, eight hundred one million, three hundred fifty-six thousand, six hundred seventy-seven".

Divisors: 1 3 19 57 953 1327 2859 3981 18107 25213 54321 75639 171131 513393 1264631 3251489 3793893 9754467 24027989 72083967 163087843 227090837 489263529 681272511 3098669017 4314725903 9296007051 12944177709 216417567661 649252702983 4111933785559 12335801356677