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2086210708640 = 25589146503561
BaseRepresentation
bin11110010110111011110…
…110010010010010100000
321101102212121111121112222
4132112323312102102200
5233140024420134030
64234220355410212
7303503150302652
oct36267366222240
97342777447488
102086210708640
11734836615223
122983a38b3968
131219622cb4c6
1472d8a4066d2
15394018563e5
hex1e5bbd924a0

2086210708640 has 48 divisors (see below), whose sum is σ = 4984051179240. Its totient is φ = 825108049920.

The previous prime is 2086210708639. The next prime is 2086210708691. The reversal of 2086210708640 is 468070126802.

It can be written as a sum of positive squares in 4 ways, for example, as 1651502571664 + 434708136976 = 1285108^2 + 659324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2086210708591 and 2086210708600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73237541 + ... + 73266020.

Almost surely, 22086210708640 is an apocalyptic number.

2086210708640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086210708640 is an abundant number, since it is smaller than the sum of its proper divisors (2897840470600).

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

2086210708640 is a wasteful number, since it uses less digits than its factorization.

2086210708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146503665 (or 146503657 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 2086210708640 in words is "two trillion, eighty-six billion, two hundred ten million, seven hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1780 2848 3560 7120 14240 146503561 293007122 586014244 732517805 1172028488 1465035610 2344056976 2930071220 4688113952 5860142440 11720284880 13038816929 23440569760 26077633858 52155267716 65194084645 104310535432 130388169290 208621070864 260776338580 417242141728 521552677160 1043105354320 2086210708640