Search a number
-
+
12870930744 = 23327228112983
BaseRepresentation
bin10111111110010101…
…01101000100111000
31020012222221000201200
423333022231010320
5202324424240434
65525100414200
7633645051300
oct137712550470
936188830650
1012870930744
115505339851
1225b2547360
1312a1720a69
148a156c600
15504e59199
hex2ff2ad138

12870930744 has 144 divisors (see below), whose sum is σ = 40697439120. Its totient is φ = 3664039680.

The previous prime is 12870930719. The next prime is 12870930749. The reversal of 12870930744 is 44703907821.

It is a self number, because there is not a number n which added to its sum of digits gives 12870930744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12870930749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 984877 + ... + 997859.

It is an arithmetic number, because the mean of its divisors is an integer number (282621105).

Almost surely, 212870930744 is an apocalyptic number.

12870930744 is a gapful number since it is divisible by the number (14) 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 12870930744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348719560).

12870930744 is an abundant number, since it is smaller than the sum of its proper divisors (27826508376).

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

12870930744 is a wasteful number, since it uses less digits than its factorization.

12870930744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12870930744 in words is "twelve billion, eight hundred seventy million, nine hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 281 294 392 441 504 562 588 843 882 1124 1176 1686 1764 1967 2248 2529 3372 3528 3934 5058 5901 6744 7868 10116 11802 12983 13769 15736 17703 20232 23604 25966 27538 35406 38949 41307 47208 51932 55076 70812 77898 82614 90881 103864 110152 116847 123921 141624 155796 165228 181762 233694 247842 272643 311592 330456 363524 467388 495684 545286 636167 727048 817929 934776 991368 1090572 1272334 1635858 1908501 2181144 2544668 3271716 3648223 3817002 5089336 5725503 6543432 7296446 7634004 10944669 11451006 14592892 15268008 21889338 22902012 25537561 29185784 32834007 43778676 45804024 51075122 65668014 76612683 87557352 102150244 131336028 153225366 178762927 204300488 229838049 262672056 306450732 357525854 459676098 536288781 612901464 715051708 919352196 1072577562 1430103416 1608866343 1838704392 2145155124 3217732686 4290310248 6435465372 12870930744