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260314652314420 = 2251119348711258637
BaseRepresentation
bin111011001100000100111010…
…011000011000101100110100
31021010200211121200212022000121
4323030010322120120230310
5233104443401443030140
62321350522251021324
7105555053520100504
oct7314047230305464
91233624550768017
10260314652314420
1175a4290792a410
122524288243a844
13b23374945c3b2
14483d421459a04
1520165ac83764a
hexecc13a618b34

260314652314420 has 96 divisors (see below), whose sum is σ = 599570678036736. Its totient is φ = 94150000435200.

The previous prime is 260314652314363. The next prime is 260314652314433. The reversal of 260314652314420 is 24413256413062.

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, 206193342 + ... + 207451978.

It is an arithmetic number, because the mean of its divisors is an integer number (6245527896216).

Almost surely, 2260314652314420 is an apocalyptic number.

260314652314420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260314652314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299785339018368).

260314652314420 is an abundant number, since it is smaller than the sum of its proper divisors (339256025722316).

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

260314652314420 is a wasteful number, since it uses less digits than its factorization.

260314652314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263721 (or 1263719 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 260314652314420 in words is "two hundred sixty trillion, three hundred fourteen billion, six hundred fifty-two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 4871 8492 9742 10615 19484 21230 24355 42460 48710 53581 97420 107162 214324 267905 535810 940103 1071620 1258637 1880206 2517274 3760412 4700515 5034548 6293185 9401030 10341133 12586370 13845007 18802060 20682266 25172740 27690014 41364532 51705665 55380028 69225035 103411330 138450070 206822660 242916941 276900140 485833882 971667764 1214584705 2429169410 2672086351 4858338820 5344172702 6130820827 10688345404 12261641654 13360431755 24523283308 26720863510 30654104135 53441727020 61308208270 67439029097 122616416540 134878058194 269756116388 337195145485 674390290970 1183248419611 1348780581940 2366496839222 4732993678444 5916242098055 11832484196110 13015732615721 23664968392220 26031465231442 52062930462884 65078663078605 130157326157210 260314652314420