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12513257075820 = 2235593534818383
BaseRepresentation
bin1011011000010111100000…
…1111100011010001101100
31122022020220101211001020010
42312011320033203101230
53120004122302411240
642340302210253220
72431024114121604
oct266057017432154
948266811731203
1012513257075820
113a9492a443606
1214a11a0587210
136c9cc225b607
14313905769c04
1516a772836280
hexb61783e346c

12513257075820 has 48 divisors (see below), whose sum is σ = 35630969310720. Its totient is φ = 3280311458496.

The previous prime is 12513257075791. The next prime is 12513257075827. The reversal of 12513257075820 is 2857075231521.

12513257075820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12513257075820.

It is not an unprimeable number, because it can be changed into a prime (12513257075827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767405652 + ... + 1767412731.

It is an arithmetic number, because the mean of its divisors is an integer number (742311860640).

Almost surely, 212513257075820 is an apocalyptic number.

12513257075820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12513257075820 is an abundant number, since it is smaller than the sum of its proper divisors (23117712234900).

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

12513257075820 is a wasteful number, since it uses less digits than its factorization.

12513257075820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534818454 (or 3534818452 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 12513257075820 in words is "twelve trillion, five hundred thirteen billion, two hundred fifty-seven million, seventy-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 3534818383 7069636766 10604455149 14139273532 17674091915 21208910298 35348183830 42417820596 53022275745 70696367660 106044551490 208554284597 212089102980 417108569194 625662853791 834217138388 1042771422985 1251325707582 2085542845970 2502651415164 3128314268955 4171085691940 6256628537910 12513257075820