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11421621680 = 2457210926731
BaseRepresentation
bin10101010001100100…
…00001110110110000
31002110222210111110012
422220302001312300
5141342413343210
65125204554052
7553016116400
oct125062016660
932428714405
1011421621680
114931231467
1222690b2928
131100399531
147a4ca2800
1546cac4305
hex2a8c81db0

11421621680 has 120 divisors (see below), whose sum is σ = 31175393040. Its totient is φ = 3879912960.

The previous prime is 11421621643. The next prime is 11421621703. The reversal of 11421621680 is 8612612411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413915 + ... + 440645.

It is an arithmetic number, because the mean of its divisors is an integer number (259794942).

Almost surely, 211421621680 is an apocalyptic number.

11421621680 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 11421621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587696520).

11421621680 is an abundant number, since it is smaller than the sum of its proper divisors (19753771360).

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

11421621680 is a wasteful number, since it uses less digits than its factorization.

11421621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26867 (or 26854 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 11421621680 in words is "eleven billion, four hundred twenty-one million, six hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 109 112 140 196 218 245 280 392 436 490 545 560 763 784 872 980 1090 1526 1744 1960 2180 3052 3815 3920 4360 5341 6104 7630 8720 10682 12208 15260 21364 26705 26731 30520 42728 53410 53462 61040 85456 106820 106924 133655 187117 213640 213848 267310 374234 427280 427696 534620 748468 935585 1069240 1309819 1496936 1871170 2138480 2619638 2913679 2993872 3742340 5239276 5827358 6549095 7484680 10478552 11654716 13098190 14568395 14969360 20395753 20957104 23309432 26196380 29136790 40791506 46618864 52392760 58273580 81583012 101978765 104785520 116547160 142770271 163166024 203957530 233094320 285540542 326332048 407915060 571081084 713851355 815830120 1142162168 1427702710 1631660240 2284324336 2855405420 5710810840 11421621680