Search a number
-
+
18863638248 = 23371319943403
BaseRepresentation
bin10001100100010111…
…000100011011101000
31210200122021002222110
4101210113010123220
5302113042410443
612355453122320
71235313164610
oct214427043350
953618232873
1018863638248
118000039684
1237a54893a0
131a18135430
14cad3dda40
15756101233
hex4645c46e8

18863638248 has 128 divisors (see below), whose sum is σ = 58334976000. Its totient is φ = 4949911296.

The previous prime is 18863638247. The next prime is 18863638279. The reversal of 18863638248 is 84283636881.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18863638247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412915 + ... + 456317.

It is an arithmetic number, because the mean of its divisors is an integer number (455742000).

Almost surely, 218863638248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18863638248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29167488000).

18863638248 is an abundant number, since it is smaller than the sum of its proper divisors (39471337752).

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

18863638248 is a wasteful number, since it uses less digits than its factorization.

18863638248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43631 (or 43627 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The spelling of 18863638248 in words is "eighteen billion, eight hundred sixty-three million, six hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 199 273 312 364 398 546 597 728 796 1092 1194 1393 1592 2184 2388 2587 2786 4179 4776 5174 5572 7761 8358 10348 11144 15522 16716 18109 20696 31044 33432 36218 43403 54327 62088 72436 86806 108654 130209 144872 173612 217308 260418 303821 347224 434616 520836 564239 607642 911463 1041672 1128478 1215284 1692717 1822926 2256956 2430568 3385434 3645852 3949673 4513912 6770868 7291704 7899346 8637197 11849019 13541736 15798692 17274394 23698038 25911591 31597384 34548788 47396076 51823182 60460379 69097576 94792152 103646364 112283561 120920758 181381137 207292728 224567122 241841516 336850683 362762274 449134244 483683032 673701366 725524548 785984927 898268488 1347402732 1451049096 1571969854 2357954781 2694805464 3143939708 4715909562 6287879416 9431819124 18863638248