Search a number
-
+
426939626304 = 2634233580747
BaseRepresentation
bin1100011011001111001…
…01011011001101000000
31111211000011020011220000
412031213211123031000
523443333021020204
6524044445520000
742562650642402
oct6154745331500
91454004204800
10426939626304
1115507831a374
126a8b1273000
133134c970b19
1416941daab72
15b18ba05039
hex636795b340

426939626304 has 140 divisors (see below), whose sum is σ = 1320608508384. Its totient is φ = 136125639936.

The previous prime is 426939626273. The next prime is 426939626329. The reversal of 426939626304 is 403626939624.

426939626304 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 3 + 9 + 626 + 3 + 0 + 4 = 666.

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1671142 + ... + 1909605.

Almost surely, 2426939626304 is an apocalyptic number.

It is an amenable number.

426939626304 is an abundant number, since it is smaller than the sum of its proper divisors (893668882080).

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

426939626304 is a wasteful number, since it uses less digits than its factorization.

426939626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580794 (or 3580775 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 426939626304 in words is "four hundred twenty-six billion, nine hundred thirty-nine million, six hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 3580747 7161494 10742241 14322988 21484482 28645976 32226723 42968964 57291952 64453446 82357181 85937928 96680169 114583904 128906892 164714362 171875856 193360338 229167808 247071543 257813784 290040507 329428724 343751712 386720676 494143086 515627568 580081014 658857448 687503424 741214629 773441352 988286172 1031255136 1160162028 1317714896 1482429258 1546882704 1976572344 2062510272 2223643887 2320324056 2635429792 2964858516 3093765408 3953144688 4447287774 4640648112 5270859584 5929717032 6187530816 6670931661 7906289376 8894575548 9281296224 11859434064 13341863322 15812578752 17789151096 18562592448 23718868128 26683726644 35578302192 47437736256 53367453288 71156604384 106734906576 142313208768 213469813152 426939626304