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12783247031716 = 2272176415985193
BaseRepresentation
bin1011101000000101010011…
…1001011111110110100100
31200021001210110112212200021
42322001110321133312210
53133420042220003331
643104313112124524
72456362530643300
oct272012471376644
950231713485607
1012783247031716
114089387766567
12152558b696744
137195bb8b9475
143229d8daad00
151727c5585211
hexba054e5fda4

12783247031716 has 72 divisors (see below), whose sum is σ = 27596795843736. Its totient is φ = 5148222750720.

The previous prime is 12783247031683. The next prime is 12783247031759. The reversal of 12783247031716 is 61713074238721.

It can be written as a sum of positive squares in 4 ways, for example, as 9517817329216 + 3265429702500 = 3085096^2 + 1807050^2 .

It is a super-2 number, since 2×127832470317162 (a number of 27 digits) contains 22 as substring.

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, 856785 + ... + 5128408.

It is an arithmetic number, because the mean of its divisors is an integer number (383288831163).

Almost surely, 212783247031716 is an apocalyptic number.

It is an amenable number.

12783247031716 is an abundant number, since it is smaller than the sum of its proper divisors (14813548812020).

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

12783247031716 is a wasteful number, since it uses less digits than its factorization.

12783247031716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985869 (or 5985860 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 12783247031716 in words is "twelve trillion, seven hundred eighty-three billion, two hundred forty-seven million, thirty-one thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 641 833 1282 1666 2564 3332 4487 8974 10897 17948 21794 31409 43588 62818 76279 125636 152558 305116 533953 1067906 2135812 5985193 11970386 23940772 41896351 83792702 101748281 167585404 203496562 293274457 406993124 586548914 712237967 1173097828 1424475934 2848951868 3836508713 4985665769 7673017426 9971331538 15346034852 19942663076 26855560991 53711121982 65220648121 107422243964 130441296242 187988926937 260882592484 375977853874 456544536847 751955707748 913089073694 1826178147388 3195811757929 6391623515858 12783247031716