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378813401604 = 2232116122876857
BaseRepresentation
bin1011000001100110000…
…10011100101000000100
31100012210011020122202100
411200303002130220010
522201302212322404
6450005141512100
736240230533401
oct5406302345004
91305704218670
10378813401604
11136721320450
12614bba12630
13299501821a1
14144984792a8
159cc18dcd39
hex583309ca04

378813401604 has 144 divisors (see below), whose sum is σ = 1062350505216. Its totient is φ = 112844275200.

The previous prime is 378813401597. The next prime is 378813401647. The reversal of 378813401604 is 406104318873.

378813401604 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 1 + 34 + 0 + 1 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 378813401604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55241344 + ... + 55248200.

It is an arithmetic number, because the mean of its divisors is an integer number (7377434064).

Almost surely, 2378813401604 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 378813401604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531175252608).

378813401604 is an abundant number, since it is smaller than the sum of its proper divisors (683537103612).

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

378813401604 is a wasteful number, since it uses less digits than its factorization.

378813401604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 378813401604 in words is "three hundred seventy-eight billion, eight hundred thirteen million, four hundred one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2287 2684 4026 4574 6039 6857 6861 8052 9148 12078 13714 13722 20571 20583 24156 25157 27428 27444 41142 41166 50314 61713 75427 75471 82284 82332 100628 123426 139507 150854 150942 226281 226413 246852 279014 301708 301884 418277 418521 452562 452826 558028 678843 836554 837042 905124 905652 1254831 1255563 1357686 1534577 1673108 1674084 2509662 2511126 2715372 3069154 3764493 4601047 4603731 5019324 5022252 6138308 7528986 9202094 9207462 13803141 13811193 15057972 15681959 18404188 18414924 27606282 27622386 31363918 41409423 47045877 55212564 55244772 62727836 82818846 94091754 141137631 165637692 172501549 188183508 282275262 345003098 517504647 564550524 690006196 956599499 1035009294 1552513941 1913198998 2070018588 2869798497 3105027882 3826397996 5739596994 6210055764 8609395491 10522594489 11479193988 17218790982 21045188978 31567783467 34437581964 42090377956 63135566934 94703350401 126271133868 189406700802 378813401604