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679287028914 = 2321317357129387
BaseRepresentation
bin10011110001010001010…
…10010111110010110010
32101221100200101110000200
421320220222113302302
542112134434411124
61240020554300030
7100035236322504
oct11705052276262
92357320343020
10679287028914
112420a190097a
12ab797a27616
134c097160c30
1424c40469d74
1512a0a955bc9
hex9e28a97cb2

679287028914 has 96 divisors (see below), whose sum is σ = 1597011159744. Its totient is φ = 207432247680.

The previous prime is 679287028883. The next prime is 679287028921. The reversal of 679287028914 is 419820782976.

679287028914 is a `hidden beast` number, since 6 + 79 + 287 + 0 + 289 + 1 + 4 = 666.

679287028914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6792870289142 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23100529 + ... + 23129915.

It is an arithmetic number, because the mean of its divisors is an integer number (16635532914).

Almost surely, 2679287028914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679287028914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798505579872).

679287028914 is an abundant number, since it is smaller than the sum of its proper divisors (917724130830).

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

679287028914 is a wasteful number, since it uses less digits than its factorization.

679287028914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30152 (or 30149 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 679287028914 in words is "six hundred seventy-nine billion, two hundred eighty-seven million, twenty-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 571 1038 1142 1557 1713 2249 3114 3426 4498 5139 6747 7423 10278 13494 14846 20241 22269 29387 40482 44538 58774 66807 88161 98783 133614 176322 197566 264483 296349 382031 528966 592698 764062 889047 1146093 1284179 1778094 2292186 2568358 3438279 3852537 5083951 6876558 7705074 10167902 11557611 15251853 16779977 23115222 30503706 33559954 45755559 50339931 66091363 91511118 100679862 132182726 151019793 198274089 218139701 302039586 396548178 436279402 594822267 654419103 1189644534 1308838206 1963257309 2902936021 3926514618 5805872042 8708808063 17417616126 26126424189 37738168273 52252848378 75476336546 113214504819 226429009638 339643514457 679287028914