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11242062432 = 2532335911621
BaseRepresentation
bin10100111100001010…
…00100001001100000
31002000110220221110200
422132011010021200
5141010431444212
65055312225200
7545405645136
oct123605041140
932013827420
1011242062432
11484993a997
122218b3b200
1310a211b163
147890c1756
1545be566dc
hex29e144260

11242062432 has 72 divisors (see below), whose sum is σ = 31981884480. Its totient is φ = 3745916160.

The previous prime is 11242062421. The next prime is 11242062457. The reversal of 11242062432 is 23426024211.

11242062432 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 0 + 624 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 11242062396 and 11242062405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961582 + ... + 973202.

It is an arithmetic number, because the mean of its divisors is an integer number (444192840).

Almost surely, 211242062432 is an apocalyptic number.

11242062432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11242062432 is an abundant number, since it is smaller than the sum of its proper divisors (20739822048).

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

11242062432 is a wasteful number, since it uses less digits than its factorization.

11242062432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14996 (or 14985 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11242062432 its reverse (23426024211), we get a palindrome (34668086643).

The spelling of 11242062432 in words is "eleven billion, two hundred forty-two million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3359 6718 10077 11621 13436 20154 23242 26872 30231 34863 40308 46484 53744 60462 69726 80616 92968 104589 107488 120924 139452 161232 185936 209178 241848 278904 322464 371872 418356 483696 557808 836712 967392 1115616 1673424 3346848 39034939 78069878 117104817 156139756 234209634 312279512 351314451 468419268 624559024 702628902 936838536 1249118048 1405257804 1873677072 2810515608 3747354144 5621031216 11242062432