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11214126396 = 22321137974719
BaseRepresentation
bin10100111000110100…
…11111110100111100
31001221112100122102200
422130122133310330
5140431304021041
65052433351500
7544616334024
oct123432376474
931845318380
1011214126396
11483509a160
12220b708590
1310993b9765
147854cca84
154597891b6
hex29c69fd3c

11214126396 has 72 divisors (see below), whose sum is σ = 31005811200. Its totient is φ = 3389208480.

The previous prime is 11214126383. The next prime is 11214126397. The reversal of 11214126396 is 69362141211.

It is a happy number.

11214126396 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 12 + 639 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11214126396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214126397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112725 + ... + 187443.

Almost surely, 211214126396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214126396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502905600).

11214126396 is an abundant number, since it is smaller than the sum of its proper divisors (19791684804).

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

11214126396 is a wasteful number, since it uses less digits than its factorization.

11214126396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75119 (or 75114 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 11214126396 in words is "eleven billion, two hundred fourteen million, one hundred twenty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 379 396 758 1137 1516 2274 3411 4169 4548 6822 8338 12507 13644 16676 25014 37521 50028 74719 75042 149438 150084 224157 298876 448314 672471 821909 896628 1344942 1643818 2465727 2689884 3287636 4931454 7397181 9862908 14794362 28318501 29588724 56637002 84955503 113274004 169911006 254866509 311503511 339822012 509733018 623007022 934510533 1019466036 1246014044 1869021066 2803531599 3738042132 5607063198 11214126396