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2072107800680 = 235891564737199
BaseRepresentation
bin11110001001110011001…
…111111101100001101000
321100002110202101122210112
4132021303033331201220
5232422134044110210
64223525125233452
7302463522461141
oct36116317754150
97302422348715
102072107800680
11729859919795
12295708862888
1312052559b358
147240d3c2ac8
1538d78696d05
hex1e2733fd868

2072107800680 has 64 divisors (see below), whose sum is σ = 4715055360000. Its totient is φ = 819455870464.

The previous prime is 2072107800677. The next prime is 2072107800709. The reversal of 2072107800680 is 860087012702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55684721 + ... + 55721919.

It is an arithmetic number, because the mean of its divisors is an integer number (73672740000).

Almost surely, 22072107800680 is an apocalyptic number.

2072107800680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072107800680 is an abundant number, since it is smaller than the sum of its proper divisors (2642947559320).

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

2072107800680 is a wasteful number, since it uses less digits than its factorization.

2072107800680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52946 (or 52942 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 2072107800680 in words is "two trillion, seventy-two billion, one hundred seven million, eight hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 15647 31294 37199 62588 74398 78235 125176 148796 156470 185995 297592 312940 371990 625880 743980 1392583 1487960 2785166 3310711 5570332 6621422 6962915 11140664 13242844 13925830 16553555 26485688 27851660 33107110 55703320 66214220 132428440 582052753 1164105506 2328211012 2910263765 4656422024 5820527530 11641055060 23282110120 51802695017 103605390034 207210780068 259013475085 414421560136 518026950170 1036053900340 2072107800680