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2890014126640 = 245175192062057
BaseRepresentation
bin101010000011100010010…
…000111111001000110000
3101020021122001110000011221
4222003202100333020300
5334322222104023030
610051353144314424
7415540146521134
oct52034220771060
911207561400157
102890014126640
11a147146a5183
123a812ba72a14
1317c6b123ac74
149dc3d94d3c4
15502989dbe7a
hex2a0e243f230

2890014126640 has 40 divisors (see below), whose sum is σ = 6719669645760. Its totient is φ = 1155939104256.

The previous prime is 2890014126583. The next prime is 2890014126661. The reversal of 2890014126640 is 466214100982.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 370492 + ... + 2432548.

It is an arithmetic number, because the mean of its divisors is an integer number (167991741144).

Almost surely, 22890014126640 is an apocalyptic number.

2890014126640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890014126640 is an abundant number, since it is smaller than the sum of its proper divisors (3829655519120).

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

2890014126640 is a wasteful number, since it uses less digits than its factorization.

2890014126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079589 (or 2079583 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 2890014126640 in words is "two trillion, eight hundred ninety billion, fourteen million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 17519 35038 70076 87595 140152 175190 280304 350380 700760 1401520 2062057 4124114 8248228 10310285 16496456 20620570 32992912 41241140 82482280 164964560 36125176583 72250353166 144500706332 180625882915 289001412664 361251765830 578002825328 722503531660 1445007063320 2890014126640