Search a number
-
+
12254672760 = 23351179117517
BaseRepresentation
bin10110110100110111…
…10111011101111000
31011122001022212200220
423122123313131320
5200044144012020
65344004100040
7612452666631
oct133233673570
934561285626
1012254672760
115219497030
122460094620
131203b52075
14843792888
154bacc9240
hex2da6f7778

12254672760 has 128 divisors (see below), whose sum is σ = 40614220800. Its totient is φ = 2933199360.

The previous prime is 12254672753. The next prime is 12254672783. The reversal of 12254672760 is 6727645221.

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, 45522 + ... + 163038.

It is an arithmetic number, because the mean of its divisors is an integer number (317298600).

Almost surely, 212254672760 is an apocalyptic number.

12254672760 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 12254672760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307110400).

12254672760 is an abundant number, since it is smaller than the sum of its proper divisors (28359548040).

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

12254672760 is a wasteful number, since it uses less digits than its factorization.

12254672760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117621 (or 117617 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 12254672760 in words is "twelve billion, two hundred fifty-four million, six hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 117517 235034 352551 470068 587585 705102 940136 1175170 1292687 1410204 1762755 2350340 2585374 2820408 3525510 3878061 4700680 5170748 6463435 7051020 7756122 9283843 10341496 12926870 14102040 15512244 18567686 19390305 25853740 27851529 31024488 37135372 38780610 46419215 51707480 55703058 74270744 77561220 92838430 102122273 111406116 139257645 155122440 185676860 204244546 222812232 278515290 306366819 371353720 408489092 510611365 557030580 612733638 816978184 1021222730 1114061160 1225467276 1531834095 2042445460 2450934552 3063668190 4084890920 6127336380 12254672760