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12707453760 = 263517778643
BaseRepresentation
bin10111101010110110…
…00101101101000000
31012210121022112110120
423311123011231000
5202011102010020
65500540500240
7626621401101
oct136533055500
935717275416
1012707453760
115431032101
12256784a680
1312768b3811
148879763a8
154e5916740
hex2f56c5b40

12707453760 has 112 divisors (see below), whose sum is σ = 42719524416. Its totient is φ = 3189317632.

The previous prime is 12707453723. The next prime is 12707453771. The reversal of 12707453760 is 6735470721.

12707453760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127074537602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 373002 + ... + 405641.

Almost surely, 212707453760 is an apocalyptic number.

12707453760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12707453760 is an abundant number, since it is smaller than the sum of its proper divisors (30012070656).

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

12707453760 is a wasteful number, since it uses less digits than its factorization.

12707453760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778680 (or 778670 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 12707453760 in words is "twelve billion, seven hundred seven million, four hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 778643 1557286 2335929 3114572 3893215 4671858 6229144 7786430 9343716 11679645 12458288 13236931 15572860 18687432 23359290 24916576 26473862 31145720 37374864 39710793 46718580 49833152 52947724 62291440 66184655 74749728 79421586 93437160 105895448 124582880 132369310 149499456 158843172 186874320 198553965 211790896 249165760 264738620 317686344 373748640 397107930 423581792 529477240 635372688 747497280 794215860 847163584 1058954480 1270745376 1588431720 2117908960 2541490752 3176863440 4235817920 6353726880 12707453760