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2042686221975 = 325276412023313
BaseRepresentation
bin11101101110011001100…
…101100010111010010111
321020021112022111121021100
4131232121211202322113
5231431410133100400
64202221434521143
7300402445255560
oct35563145427227
97207468447240
102042686221975
11718331135193
1228ba775961b3
1311a816cb7c99
1470c1bb05167
1538205727100
hex1db99962e97

2042686221975 has 72 divisors (see below), whose sum is σ = 4187871503712. Its totient is φ = 932342169600.

The previous prime is 2042686221971. The next prime is 2042686222061. The reversal of 2042686221975 is 5791226862402.

2042686221975 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 6 + 8 + 622 + 1 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 2042686221975 - 22 = 2042686221971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042686221971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2082 + ... + 2021231.

It is an arithmetic number, because the mean of its divisors is an integer number (58164881996).

Almost surely, 22042686221975 is an apocalyptic number.

2042686221975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2042686221975 is an abundant number, since it is smaller than the sum of its proper divisors (2145185281737).

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

2042686221975 is a wasteful number, since it uses less digits than its factorization.

2042686221975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023977 (or 2023969 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2042686221975 in words is "two trillion, forty-two billion, six hundred eighty-six million, two hundred twenty-one thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 641 1575 1923 3205 4487 5769 9615 13461 16025 22435 28845 40383 48075 67305 112175 144225 201915 336525 1009575 2023313 6069939 10116565 14163191 18209817 30349695 42489573 50582825 70815955 91049085 127468719 151748475 212447865 354079775 455245425 637343595 1062239325 1296943633 3186717975 3890830899 6484718165 9078605431 11672492697 19454154495 27235816293 32423590825 45393027155 58362463485 81707448879 97270772475 136179081465 226965135775 291812317425 408537244395 680895407325 2042686221975