Search a number
-
+
1113426432252 = 223261823616069
BaseRepresentation
bin10000001100111101011…
…000110001000011111100
310221102221121021012021100
4100030331120301003330
5121220244131313002
62211300120333100
7143304513342621
oct20147530610374
93842847235240
101113426432252
1139a2242152a2
1215b958314190
1380cc3614644
143bc66718348
151de6958811c
hex1033d6310fc

1113426432252 has 72 divisors (see below), whose sum is σ = 2864114358560. Its totient is φ = 364613685120.

The previous prime is 1113426432197. The next prime is 1113426432257. The reversal of 1113426432252 is 2522346243111.

It is a happy number.

1113426432252 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 2 + 643 + 2 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113426432257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1499274 + ... + 2115342.

Almost surely, 21113426432252 is an apocalyptic number.

1113426432252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113426432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432057179280).

1113426432252 is an abundant number, since it is smaller than the sum of its proper divisors (1750687926308).

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

1113426432252 is a wasteful number, since it uses less digits than its factorization.

1113426432252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616963 (or 616958 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 1113426432252 in words is "one trillion, one hundred thirteen billion, four hundred twenty-six million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 823 1098 1646 2196 2469 3292 4938 7407 9876 14814 29628 50203 100406 150609 200812 301218 451827 602436 616069 903654 1232138 1807308 1848207 2464276 3696414 5544621 7392828 11089242 22178484 37580209 75160418 112740627 150320836 225481254 338221881 450962508 507024787 676443762 1014049574 1352887524 1521074361 2028099148 3042148722 4563223083 6084297444 9126446166 18252892332 30928512007 61857024014 92785536021 123714048028 185571072042 278356608063 371142144084 556713216126 1113426432252