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2104290808641 = 3271713211487351
BaseRepresentation
bin11110100111110001100…
…000011001001101000001
321110011112122101212010100
4132213301200121031001
5233434041421334031
64250410422553013
7305013200515530
oct36476140311501
97404478355110
102104290808641
11741474336a2a
1229b9aa898769
13123583cc5828
1473bc3724317
1539b0dc82de6
hex1e9f1819341

2104290808641 has 48 divisors (see below), whose sum is σ = 3680874931968. Its totient is φ = 1130861952000.

The previous prime is 2104290808621. The next prime is 2104290808651. The reversal of 2104290808641 is 1468080924012.

2104290808641 is a `hidden beast` number, since 210 + 429 + 0 + 8 + 0 + 8 + 6 + 4 + 1 = 666.

It is not a de Polignac number, because 2104290808641 - 26 = 2104290808577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2104290808601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671116 + ... + 2158466.

It is an arithmetic number, because the mean of its divisors is an integer number (76684894416).

Almost surely, 22104290808641 is an apocalyptic number.

2104290808641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2104290808641 is a deficient number, since it is larger than the sum of its proper divisors (1576584123327).

2104290808641 is a wasteful number, since it uses less digits than its factorization.

2104290808641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488702 (or 1488699 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2104290808641 in words is "two trillion, one hundred four billion, two hundred ninety million, eight hundred eight thousand, six hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 1321 3963 9247 11889 22457 27741 67371 83223 157199 202113 471597 1414791 1487351 4462053 10411457 13386159 25284967 31234371 75854901 93703113 176994769 227564703 530984307 1592952921 1964790671 5894372013 13753534697 17683116039 33401441407 41260604091 100204324221 123781812273 233810089849 300612972663 701430269547 2104290808641