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12703521640 = 2357122512
BaseRepresentation
bin10111101010011000…
…00101101101101000
31012210022220202121111
423311030011231220
5202004100143030
65500320320104
7626543103145
oct136514055550
935708822544
1012703521640
115429896917
122566473034
131275b37b14
148872313cc
154e53db62a
hex2f5305b68

12703521640 has 72 divisors (see below), whose sum is σ = 29107133010. Its totient is φ = 4989880000.

The previous prime is 12703521629. The next prime is 12703521661. The reversal of 12703521640 is 4612530721.

12703521640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11433169476 + 1270352164 = 106926^2 + 35642^2 .

It is a super-2 number, since 2×127035216402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50611515 + ... + 50611765.

Almost surely, 212703521640 is an apocalyptic number.

12703521640 is a gapful number since it is divisible by the number (10) 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 12703521640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14553566505).

12703521640 is an abundant number, since it is smaller than the sum of its proper divisors (16403611370).

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

12703521640 is an frugal number, since it uses more digits than its factorization.

12703521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 12703521640 in words is "twelve billion, seven hundred three million, five hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 251 284 355 502 568 710 1004 1255 1420 2008 2510 2840 5020 5041 10040 10082 17821 20164 25205 35642 40328 50410 63001 71284 89105 100820 126002 142568 178210 201640 252004 315005 356420 504008 630010 712840 1260020 1265291 2520040 2530582 4473071 5061164 6326455 8946142 10122328 12652910 17892284 22365355 25305820 35784568 44730710 50611640 89461420 178922840 317588041 635176082 1270352164 1587940205 2540704328 3175880410 6351760820 12703521640