Search a number
-
+
12621615240 = 23351323351773
BaseRepresentation
bin10111100000100111…
…01001000010001000
31012120121210111011010
423300103221002020
5201322113141430
65444233003520
7624526650033
oct136023510210
935517714133
1012621615240
115397633383
122542b535a0
131261b8aab0
1487a3d001a
154dd10ccb0
hex2f04e9088

12621615240 has 128 divisors (see below), whose sum is σ = 42550583040. Its totient is φ = 2971769856.

The previous prime is 12621615233. The next prime is 12621615271. The reversal of 12621615240 is 4251612621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12621615198 and 12621615207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140007 + ... + 211766.

It is an arithmetic number, because the mean of its divisors is an integer number (332426430).

Almost surely, 212621615240 is an apocalyptic number.

12621615240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12621615240 is an abundant number, since it is smaller than the sum of its proper divisors (29928967800).

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

12621615240 is a wasteful number, since it uses less digits than its factorization.

12621615240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351823 (or 351819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12621615240 in words is "twelve billion, six hundred twenty-one million, six hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 351773 703546 1055319 1407092 1758865 2110638 2814184 3517730 4221276 4573049 5276595 7035460 8090779 8442552 9146098 10553190 13719147 14070920 16181558 18292196 21106380 22865245 24272337 27438294 32363116 36584392 40453895 42212760 45730490 48544674 54876588 64726232 68595735 80907790 91460980 97089348 105180127 109753176 121361685 137191470 161815580 182921960 194178696 210360254 242723370 274382940 315540381 323631160 420720508 485446740 525900635 548765880 631080762 841441016 970893480 1051801270 1262161524 1577701905 2103602540 2524323048 3155403810 4207205080 6310807620 12621615240