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11420421432 = 2337177875081
BaseRepresentation
bin10101010001011010…
…11100110100111000
31002110220112112000120
422220231130310320
5141342111441212
65125123133240
7553002660210
oct125055346470
932426475016
1011420421432
114930591722
122268814220
131100069124
147a4a6d240
1546c93888c
hex2a8b5cd38

11420421432 has 128 divisors (see below), whose sum is σ = 34599882240. Its totient is φ = 3066531840.

The previous prime is 11420421407. The next prime is 11420421457. The reversal of 11420421432 is 23412402411.

11420421432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11420421407) and next prime (11420421457).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245132 + ... + 2250212.

It is an arithmetic number, because the mean of its divisors is an integer number (270311580).

Almost surely, 211420421432 is an apocalyptic number.

11420421432 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 11420421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299941120).

11420421432 is an abundant number, since it is smaller than the sum of its proper divisors (23179460808).

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

11420421432 is a wasteful number, since it uses less digits than its factorization.

11420421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11420421432 its reverse (23412402411), we get a palindrome (34832823843).

The spelling of 11420421432 in words is "eleven billion, four hundred twenty million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 787 952 1428 1574 2361 2856 3148 4722 5081 5509 6296 9444 10162 11018 13379 15243 16527 18888 20324 22036 26758 30486 33054 35567 40137 40648 44072 53516 60972 66108 71134 80274 86377 93653 106701 107032 121944 132216 142268 160548 172754 187306 213402 259131 280959 284536 321096 345508 374612 426804 518262 561918 604639 691016 749224 853608 1036524 1123836 1209278 1813917 2073048 2247672 2418556 3627834 3998747 4837112 7255668 7997494 11996241 14511336 15994988 23992482 27991229 31989976 47984964 55982458 67978699 83973687 95969928 111964916 135957398 167947374 203936097 223929832 271914796 335894748 407872194 475850893 543829592 671789496 815744388 951701786 1427552679 1631488776 1903403572 2855105358 3806807144 5710210716 11420421432