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12113635310644 = 2272294219505139
BaseRepresentation
bin1011000001000110110011…
…1011011111110000110100
31120220001102001221222212111
42300101230323133300310
53041432211114420034
641432532141100404
72360116114142200
oct260215473376064
946801361858774
1012113635310644
11395040037067a
121437853b57704
1369b4070b0b7a
142dc435903b00
15160184252364
hexb046cedfc34

12113635310644 has 72 divisors (see below), whose sum is σ = 25516338876000. Its totient is φ = 5011340741568.

The previous prime is 12113635310639. The next prime is 12113635310717. The reversal of 12113635310644 is 44601353631121.

It is a junction number, because it is equal to n+sod(n) for n = 12113635310597 and 12113635310606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23728227 + ... + 24233365.

It is an arithmetic number, because the mean of its divisors is an integer number (354393595500).

Almost surely, 212113635310644 is an apocalyptic number.

12113635310644 is a gapful number since it is divisible by the number (14) 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 12113635310644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758169438000).

12113635310644 is an abundant number, since it is smaller than the sum of its proper divisors (13402703565356).

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

12113635310644 is a wasteful number, since it uses less digits than its factorization.

12113635310644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509405 (or 509396 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 12113635310644 its reverse (44601353631121), we get a palindrome (56714988941765).

The spelling of 12113635310644 in words is "twelve trillion, one hundred thirteen billion, six hundred thirty-five million, three hundred ten thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 2842 4219 5684 8438 16876 29533 59066 118132 122351 206731 244702 413462 489404 505139 826924 856457 1010278 1712914 2020556 3425828 3535973 5995199 7071946 11990398 14143892 14649031 23980796 24751811 29298062 49503622 58596124 99007244 102543217 205086434 410172868 717802519 1435605038 2131181441 2871210076 4262362882 8524725764 14918270087 29836540174 59673080348 61804261789 104427890609 123608523578 208855781218 247217047156 417711562436 432629832523 865259665046 1730519330092 3028408827661 6056817655322 12113635310644