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424286127270 = 23354750965687
BaseRepresentation
bin1100010110010010110…
…11001000010010100110
31111120011020012110112000
412023021123020102212
523422414222033040
6522525300110130
742440130401535
oct6131133102246
91446136173460
10424286127270
11153a36504265
126a290695346
1331018cb8c55
141676d80031c
15b083aa8130
hex62c96c84a6

424286127270 has 128 divisors (see below), whose sum is σ = 1157790412800. Its totient is φ = 110516432256.

The previous prime is 424286127253. The next prime is 424286127283. The reversal of 424286127270 is 72721682424.

424286127270 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 8 + 612 + 7 + 27 + 0 = 666.

It is a super-3 number, since 3×4242861272703 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6426367 + ... + 6492053.

It is an arithmetic number, because the mean of its divisors is an integer number (9045237600).

Almost surely, 2424286127270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424286127270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578895206400).

424286127270 is an abundant number, since it is smaller than the sum of its proper divisors (733504285530).

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

424286127270 is a wasteful number, since it uses less digits than its factorization.

424286127270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66259 (or 66253 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 424286127270 in words is "four hundred twenty-four billion, two hundred eighty-six million, one hundred twenty-seven thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 509 705 846 1018 1269 1410 1527 2115 2538 2545 3054 4230 4581 5090 6345 7635 9162 12690 13743 15270 22905 23923 27486 45810 47846 65687 68715 71769 119615 131374 137430 143538 197061 215307 239230 328435 358845 394122 430614 591183 645921 656870 717690 985305 1076535 1182366 1291842 1773549 1970610 2153070 2955915 3087289 3229605 3547098 5911830 6174578 6459210 8867745 9261867 15436445 17735490 18523734 27785601 30872890 33434683 46309335 55571202 66869366 83356803 92618670 100304049 138928005 166713606 167173415 200608098 277856010 300912147 334346830 416784015 501520245 601824294 833568030 902736441 1003040490 1504560735 1571430101 1805472882 3009121470 3142860202 4513682205 4714290303 7857150505 9027364410 9428580606 14142870909 15714301010 23571451515 28285741818 42428612727 47142903030 70714354545 84857225454 141428709090 212143063635 424286127270