Search a number
-
+
12801359232 = 27343139829
BaseRepresentation
bin10111110110000010…
…10011110110000000
31020001011000102120000
423323001103312000
5202204121443412
65514133320000
7632141521014
oct137301236600
936034012500
1012801359232
11547a040732
122593196000
1312901a229c
1489621c544
154edcb54dc
hex2fb053d80

12801359232 has 160 divisors (see below), whose sum is σ = 39326548800. Its totient is φ = 4129367040.

The previous prime is 12801359177. The next prime is 12801359237. The reversal of 12801359232 is 23295310821.

12801359232 is a `hidden beast` number, since 1 + 28 + 0 + 13 + 592 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801359237) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 301494 + ... + 341322.

It is an arithmetic number, because the mean of its divisors is an integer number (245790930).

Almost surely, 212801359232 is an apocalyptic number.

12801359232 is a gapful number since it is divisible by the number (12) 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 12801359232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663274400).

12801359232 is an abundant number, since it is smaller than the sum of its proper divisors (26525189568).

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

12801359232 is an equidigital number, since it uses as much as digits as its factorization.

12801359232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39886 (or 39865 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12801359232 in words is "twelve billion, eight hundred one million, three hundred fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8928 10044 10368 11904 13392 17856 20088 26784 35712 39829 40176 53568 79658 80352 107136 119487 159316 160704 238974 318632 321408 358461 477948 637264 716922 955896 1075383 1234699 1274528 1433844 1911792 2150766 2469398 2549056 2867688 3226149 3704097 3823584 4301532 4938796 5098112 5735376 6452298 7408194 7647168 8603064 9877592 11112291 11470752 12904596 14816388 15294336 17206128 19755184 22224582 22941504 25809192 29632776 33336873 34412256 39510368 44449164 45883008 51618384 59265552 66673746 68824512 79020736 88898328 100010619 103236768 118531104 133347492 137649024 158041472 177796656 200021238 206473536 237062208 266694984 355593312 400042476 412947072 474124416 533389968 711186624 800084952 1066779936 1422373248 1600169904 2133559872 3200339808 4267119744 6400679616 12801359232