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6401362104204 = 22317614111125131
BaseRepresentation
bin101110100100110111011…
…1010100000111110001100
3211122222000221010222120220
41131021232322200332030
51314334442144313304
621340424541511340
71230324502052364
oct135115672407614
924588027128526
106401362104204
11204889102a901
12874763272550
13375851c3ba52
14181b82c3b9a4
15b17aa23cad9
hex5d26eea0f8c

6401362104204 has 96 divisors (see below), whose sum is σ = 16078432914432. Its totient is φ = 1974851712000.

The previous prime is 6401362104173. The next prime is 6401362104209. The reversal of 6401362104204 is 4024012631046.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6401362104209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51094719 + ... + 51219849.

It is an arithmetic number, because the mean of its divisors is an integer number (167483676192).

Almost surely, 26401362104204 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 6401362104204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039216457216).

6401362104204 is an abundant number, since it is smaller than the sum of its proper divisors (9677070810228).

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

6401362104204 is a wasteful number, since it uses less digits than its factorization.

6401362104204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129327 (or 129325 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 6401362104204 in words is "six trillion, four hundred one billion, three hundred sixty-two million, one hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 2074 3111 4111 4148 6222 8222 12333 12444 16444 24666 49332 69887 125131 139774 209661 250262 250771 279548 375393 419322 500524 501542 750786 752313 838644 1003084 1501572 1504626 2127227 3009252 4254454 4263107 6381681 7632991 8508908 8526214 12763362 12789321 15265982 17052428 22898973 25526724 25578642 30531964 45797946 51157284 91595892 129760847 259521694 389282541 514413541 519043388 778565082 1028827082 1543240623 1557130164 2057654164 3086481246 6172962492 8745030197 17490060394 26235090591 31379226001 34980120788 52470181182 62758452002 94137678003 104940362364 125516904004 188275356006 376550712012 533446842017 1066893684034 1600340526051 2133787368068 3200681052102 6401362104204