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12506009736 = 23311457103657
BaseRepresentation
bin10111010010110101…
…01001000010001000
31012021120021010012210
423221122221002020
5201103014302421
65424543105120
7621624220533
oct135132510210
935246233183
1012506009736
115338353240
1225102a21a0
131243c4217c
14868cd9a1a
154d2dc4576
hex2e96a9088

12506009736 has 64 divisors (see below), whose sum is σ = 34182262080. Its totient is φ = 3781370880.

The previous prime is 12506009723. The next prime is 12506009743. The reversal of 12506009736 is 63790060521.

It is a junction number, because it is equal to n+sod(n) for n = 12506009694 and 12506009703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68820 + ... + 172476.

It is an arithmetic number, because the mean of its divisors is an integer number (534097845).

Almost surely, 212506009736 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 12506009736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091131040).

12506009736 is an abundant number, since it is smaller than the sum of its proper divisors (21676252344).

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

12506009736 is a wasteful number, since it uses less digits than its factorization.

12506009736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104134 (or 104130 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 12506009736 in words is "twelve billion, five hundred six million, nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 457 914 1371 1828 2742 3656 5027 5484 10054 10968 15081 20108 30162 40216 60324 103657 120648 207314 310971 414628 621942 829256 1140227 1243884 2280454 2487768 3420681 4560908 6841362 9121816 13682724 27365448 47371249 94742498 142113747 189484996 284227494 378969992 521083739 568454988 1042167478 1136909976 1563251217 2084334956 3126502434 4168669912 6253004868 12506009736