Search a number
-
+
122736511046226 = 237111913982286517
BaseRepresentation
bin11011111010000011010010…
…001001000101001001010010
3121002120111101111002121022210
4123322003102021011021102
5112041403333311434401
61113012212541412550
734565264106244530
oct3372032211051122
9532514344077283
10122736511046226
113612029782a060
12119231a926a156
135364007410a2c
14224469bcab150
15e2c9d1c484d6
hex6fa0d2245252

122736511046226 has 64 divisors (see below), whose sum is σ = 322151881374720. Its totient is φ = 30201738874560.

The previous prime is 122736511046117. The next prime is 122736511046239. The reversal of 122736511046226 is 622640115637221.

It is a happy number.

It is a super-2 number, since 2×1227365110462262 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6991134481 + ... + 6991152036.

It is an arithmetic number, because the mean of its divisors is an integer number (5033623146480).

Almost surely, 2122736511046226 is an apocalyptic number.

122736511046226 is an abundant number, since it is smaller than the sum of its proper divisors (199415370328494).

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

122736511046226 is a wasteful number, since it uses less digits than its factorization.

122736511046226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13982286559.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 122736511046226 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, five hundred eleven million, forty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 2926 4389 8778 13982286517 27964573034 41946859551 83893719102 97876005619 153805151687 195752011238 265663443823 293628016857 307610303374 461415455061 531326887646 587256033714 796990331469 922830910122 1076636061809 1593980662938 1859644106761 2153272123618 2922297882053 3229908185427 3719288213522 5578932320283 5844595764106 6459816370854 8766893646159 11157864640566 17533787292318 20456085174371 40912170348742 61368255523113 122736511046226