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8428818440304 = 2433371373849113
BaseRepresentation
bin111101010100111110010…
…1110101010000001110000
31002211210020211221020001000
41322221330232222001300
52101044210010042204
625532051251242000
71526650656422523
oct172517456520160
932753224836030
108428818440304
11275a7072a8349
12b4168a2a9300
13491aac88b632
14211d57d9abba
15e93bd891039
hex7aa7cbaa070

8428818440304 has 160 divisors (see below), whose sum is σ = 25029094731840. Its totient is φ = 2713716338688.

The previous prime is 8428818440233. The next prime is 8428818440311. The reversal of 8428818440304 is 4030448188248.

8428818440304 is a `hidden beast` number, since 8 + 4 + 288 + 18 + 4 + 40 + 304 = 666.

It is a super-2 number, since 2×84288184403042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265252 + ... + 4114364.

It is an arithmetic number, because the mean of its divisors is an integer number (156431842074).

Almost surely, 28428818440304 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 8428818440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514547365920).

8428818440304 is an abundant number, since it is smaller than the sum of its proper divisors (16600276291536).

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

8428818440304 is a wasteful number, since it uses less digits than its factorization.

8428818440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849304 (or 3849292 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 8428818440304 in words is "eight trillion, four hundred twenty-eight billion, eight hundred eighteen million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 137 144 148 216 222 274 296 333 411 432 444 548 592 666 822 888 999 1096 1233 1332 1644 1776 1998 2192 2466 2664 3288 3699 3996 4932 5069 5328 6576 7398 7992 9864 10138 14796 15207 15984 19728 20276 29592 30414 40552 45621 59184 60828 81104 91242 121656 136863 182484 243312 273726 364968 547452 729936 1094904 2189808 3849113 7698226 11547339 15396452 23094678 30792904 34642017 46189356 61585808 69284034 92378712 103926051 138568068 142417181 184757424 207852102 277136136 284834362 415704204 427251543 527328481 554272272 569668724 831408408 854503086 1054656962 1139337448 1281754629 1581985443 1662816816 1709006172 2109313924 2278674896 2563509258 3163970886 3418012344 3845263887 4218627848 4745956329 5127018516 6327941772 6836024688 7690527774 8437255696 9491912658 10254037032 12655883544 14237868987 15381055548 18983825316 19511153797 20508074064 25311767088 28475737974 30762111096 37967650632 39022307594 56951475948 58533461391 61524222192 75935301264 78044615188 113902951896 117066922782 156089230376 175600384173 227805903792 234133845564 312178460752 351200768346 468267691128 526801152519 702401536692 936535382256 1053602305038 1404803073384 2107204610076 2809606146768 4214409220152 8428818440304