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13278620418 = 2374397229331
BaseRepresentation
bin11000101110111011…
…11010101100000010
31021021102001210211020
430113131322230002
5204143311323133
610033342530310
7650025261030
oct142735725402
937242053736
1013278620418
1156a4487068
1226a6b96996
13133802545b
148dd775550
1552ab3b0b3
hex31777ab02

13278620418 has 128 divisors (see below), whose sum is σ = 31609374720. Its totient is φ = 3640412160.

The previous prime is 13278620387. The next prime is 13278620441. The reversal of 13278620418 is 81402687231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13278620418.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40116513 + ... + 40116843.

It is an arithmetic number, because the mean of its divisors is an integer number (246948240).

Almost surely, 213278620418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13278620418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804687360).

13278620418 is an abundant number, since it is smaller than the sum of its proper divisors (18330754302).

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

13278620418 is a wasteful number, since it uses less digits than its factorization.

13278620418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 13278620418 in words is "thirteen billion, two hundred seventy-eight million, six hundred twenty thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 97 129 194 229 258 291 301 331 458 582 602 662 679 687 903 993 1358 1374 1603 1806 1986 2037 2317 3206 4074 4171 4634 4809 6951 8342 9618 9847 12513 13902 14233 19694 22213 25026 28466 29197 29541 32107 42699 44426 58394 59082 64214 66639 68929 75799 85398 87591 96321 99631 133278 137858 151598 155491 175182 192642 199262 206787 224749 227397 298893 310982 413574 449498 454794 466473 530593 597786 674247 932946 955159 1061186 1348494 1380601 1591779 1910318 2761202 2865477 3183558 3259357 4141803 5730954 6518714 6686113 7352503 8283606 9664207 9778071 13372226 14705006 19328414 19556142 20058339 22057509 22815499 28992621 40116678 44115018 45630998 51467521 57985242 68446497 102935042 136892994 154402563 308805126 316157629 632315258 948472887 1896945774 2213103403 4426206806 6639310209 13278620418