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11430461824 = 27296434789
BaseRepresentation
bin10101010010100111…
…10000000110000000
31002111121102121211221
422221103300012000
5141402144234244
65130122244424
7553154215405
oct125123600600
932447377757
1011430461824
11493621a171
122270056714
1311021731a2
147a61242ac
1546d76d784
hex2a94f0180

11430461824 has 64 divisors (see below), whose sum is σ = 23598414000. Its totient is φ = 5508421632.

The previous prime is 11430461813. The next prime is 11430461839. The reversal of 11430461824 is 42816403411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11430461824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384422 + ... + 2389210.

Almost surely, 211430461824 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 11430461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799207000).

11430461824 is an abundant number, since it is smaller than the sum of its proper divisors (12167952176).

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

11430461824 is an equidigital number, since it uses as much as digits as its factorization.

11430461824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 11430461824 in words is "eleven billion, four hundred thirty million, four hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 643 928 1286 1856 2572 3712 4789 5144 9578 10288 18647 19156 20576 37294 38312 41152 74588 76624 82304 138881 149176 153248 277762 298352 306496 555524 596704 612992 1111048 1193408 2222096 2386816 3079327 4444192 6158654 8888384 12317308 17776768 24634616 49269232 89300483 98538464 178600966 197076928 357201932 394153856 714403864 1428807728 2857615456 5715230912 11430461824