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11864709630 = 2335409107441
BaseRepresentation
bin10110000110011000…
…10001100111111110
31010121212112200212000
423003030101213332
5143244331202010
65241153523130
7600006240114
oct130314214776
933555480760
1011864709630
115039356a54
1223715734a6
131171116057
14807a81ab4
154969497c0
hex2c33119fe

11864709630 has 64 divisors (see below), whose sum is σ = 31716878400. Its totient is φ = 3156157440.

The previous prime is 11864709617. The next prime is 11864709653. The reversal of 11864709630 is 3690746811.

It is a happy number.

11864709630 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 4 + 7 + 0 + 9 + 630 = 666.

11864709630 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56710 + ... + 164150.

It is an arithmetic number, because the mean of its divisors is an integer number (495576225).

Almost surely, 211864709630 is an apocalyptic number.

11864709630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864709630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858439200).

11864709630 is an abundant number, since it is smaller than the sum of its proper divisors (19852168770).

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

11864709630 is a wasteful number, since it uses less digits than its factorization.

11864709630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107866 (or 107860 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11864709630 in words is "eleven billion, eight hundred sixty-four million, seven hundred nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 409 818 1227 2045 2454 3681 4090 6135 7362 11043 12270 18405 22086 36810 55215 107441 110430 214882 322323 537205 644646 966969 1074410 1611615 1933938 2900907 3223230 4834845 5801814 9669690 14504535 29009070 43943369 87886738 131830107 219716845 263660214 395490321 439433690 659150535 790980642 1186470963 1318301070 1977451605 2372941926 3954903210 5932354815 11864709630