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426743342604 = 2232294916731237
BaseRepresentation
bin1100011010110111110…
…00101010011000001100
31111210111110212221021100
412031123320222120030
523442432243430404
6524013154503100
742555045363615
oct6153370523014
91453443787240
10426743342604
11154a87545537
126a857594a90
133131b0b8217
1416923cb4c0c
15b179681d39
hex635be2a60c

426743342604 has 144 divisors (see below), whose sum is σ = 1120748821920. Its totient is φ = 136748666880.

The previous prime is 426743342603. The next prime is 426743342611. The reversal of 426743342604 is 406243347624.

426743342604 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 4 + 3 + 34 + 2 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 426743342604.

It is not an unprimeable number, because it can be changed into a prime (426743342603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344981874 + ... + 344983110.

It is an arithmetic number, because the mean of its divisors is an integer number (7782977930).

Almost surely, 2426743342604 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 426743342604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560374410960).

426743342604 is an abundant number, since it is smaller than the sum of its proper divisors (694005479316).

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

426743342604 is a wasteful number, since it uses less digits than its factorization.

426743342604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 426743342604 in words is "four hundred twenty-six billion, seven hundred forty-three million, three hundred forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 491 522 673 982 1044 1237 1346 1473 1964 2019 2474 2692 2946 3711 4038 4419 4948 5892 6057 7422 8076 8838 11133 12114 14239 14844 17676 19517 22266 24228 28478 35873 39034 42717 44532 56956 58551 71746 78068 85434 107619 117102 128151 143492 170868 175653 215238 234204 256302 322857 330443 351306 430476 512604 607367 645714 660886 702612 832501 991329 1214734 1291428 1321772 1665002 1822101 1982658 2429468 2497503 2973987 3330004 3644202 3965316 4995006 5466303 5947974 7288404 7492509 9582847 9990012 10932606 11895948 14985018 17613643 19165694 21865212 24142529 28748541 29970036 35227286 38331388 48285058 52840929 57497082 70454572 72427587 86245623 96570116 105681858 114994164 144855174 158522787 172491246 211363716 217282761 289710348 317045574 344982492 408757991 434565522 634091148 817515982 869131044 1226273973 1635031964 2452547946 3678821919 4905095892 7357643838 11853981739 14715287676 23707963478 35561945217 47415926956 71123890434 106685835651 142247780868 213371671302 426743342604