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12717146064 = 243742198971
BaseRepresentation
bin10111101100000000…
…00011111111010000
31012211021112221210210
423312000003333100
5202021042133224
65501524324120
7630066646410
oct136600037720
935737487723
1012717146064
115436552077
12256ab43640
1312788c82cc
14888d7a640
154e66cd429
hex2f6003fd0

12717146064 has 80 divisors (see below), whose sum is σ = 37558945280. Its totient is φ = 3632204160.

The previous prime is 12717146051. The next prime is 12717146083. The reversal of 12717146064 is 46064171721.

It is a super-2 number, since 2×127171460642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1413099 + ... + 1422069.

It is an arithmetic number, because the mean of its divisors is an integer number (469486816).

Almost surely, 212717146064 is an apocalyptic number.

12717146064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12717146064 is an abundant number, since it is smaller than the sum of its proper divisors (24841799216).

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

12717146064 is a wasteful number, since it uses less digits than its factorization.

12717146064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13202 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 12717146064 in words is "twelve billion, seven hundred seventeen million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 4219 8438 8971 12657 16876 17942 25314 26913 29533 33752 35884 50628 53826 59066 62797 67504 71768 88599 101256 107652 118132 125594 143536 177198 188391 202512 215304 236264 251188 354396 376782 430608 472528 502376 708792 753564 1004752 1417584 1507128 3014256 37848649 75697298 113545947 151394596 227091894 264940543 302789192 454183788 529881086 605578384 794821629 908367576 1059762172 1589643258 1816735152 2119524344 3179286516 4239048688 6358573032 12717146064