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12774628720 = 2457192352201
BaseRepresentation
bin10111110010110110…
…10101110101110000
31012222021201101012001
423321123111311300
5202130301104340
65511340343344
7631365360340
oct137133256560
935867641161
1012774628720
115465a436a7
122586244b54
1312877a3509
14892860d20
154eb78529a
hex2f96d5d70

12774628720 has 160 divisors (see below), whose sum is σ = 37284756480. Its totient is φ = 3968870400.

The previous prime is 12774628703. The next prime is 12774628747. The reversal of 12774628720 is 2782647721.

It is a super-2 number, since 2×127746287202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218620 + ... + 270820.

It is an arithmetic number, because the mean of its divisors is an integer number (233029728).

Almost surely, 212774628720 is an apocalyptic number.

12774628720 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 12774628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642378240).

12774628720 is an abundant number, since it is smaller than the sum of its proper divisors (24510127760).

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

12774628720 is a wasteful number, since it uses less digits than its factorization.

12774628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52263 (or 52257 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 12774628720 in words is "twelve billion, seven hundred seventy-four million, six hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 70 76 80 92 95 112 115 133 140 152 161 184 190 230 266 280 304 322 368 380 437 460 532 560 644 665 760 805 874 920 1064 1288 1330 1520 1610 1748 1840 2128 2185 2576 2660 3059 3220 3496 4370 5320 6118 6440 6992 8740 10640 12236 12880 15295 17480 24472 30590 34960 48944 52201 61180 104402 122360 208804 244720 261005 365407 417608 522010 730814 835216 991819 1044020 1200623 1461628 1827035 1983638 2088040 2401246 2923256 3654070 3967276 4176080 4802492 4959095 5846512 6003115 6942733 7308140 7934552 8404361 9604984 9918190 12006230 13885466 14616280 15869104 16808722 19209968 19836380 22811837 24012460 27770932 29232560 33617444 34713665 39672760 42021805 45623674 48024920 55541864 67234888 69427330 79345520 84043610 91247348 96049840 111083728 114059185 134469776 138854660 159682859 168087220 182494696 228118370 277709320 319365718 336174440 364989392 456236740 555418640 638731436 672348880 798414295 912473480 1277462872 1596828590 1824946960 2554925744 3193657180 6387314360 12774628720