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2116402248681 = 327412549321443
BaseRepresentation
bin11110110011000011011…
…001110111101111101001
321111022210201012202110200
4132303003121313233221
5234133342433424211
64300132313102413
7305622264202410
oct36630331675751
97438721182420
102116402248681
11746619993106
122a220a9b7a09
13124764277cb6
1474612070477
153a0bc1b7b56
hex1ecc3677be9

2116402248681 has 48 divisors (see below), whose sum is σ = 3580371849600. Its totient is φ = 1179409271040.

The previous prime is 2116402248677. The next prime is 2116402248689. The reversal of 2116402248681 is 1868422046112.

2116402248681 is a `hidden beast` number, since 2 + 1 + 164 + 0 + 2 + 2 + 486 + 8 + 1 = 666.

It is not a de Polignac number, because 2116402248681 - 22 = 2116402248677 is a prime.

It is a super-2 number, since 2×21164022486812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2116402248689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6423346 + ... + 6744788.

It is an arithmetic number, because the mean of its divisors is an integer number (74591080200).

Almost surely, 22116402248681 is an apocalyptic number.

2116402248681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2116402248681 is a deficient number, since it is larger than the sum of its proper divisors (1463969600919).

2116402248681 is a wasteful number, since it uses less digits than its factorization.

2116402248681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324046 (or 324043 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2116402248681 in words is "two trillion, one hundred sixteen billion, four hundred two million, two hundred forty-eight thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2549 2583 7647 17843 22941 53529 104509 160587 313527 321443 731563 940581 964329 2194689 2250101 2892987 6584067 6750303 13179163 20250909 39537489 92254141 118612467 276762423 819358207 830287269 2458074621 5735507449 7374223863 17206522347 33593686487 51619567041 100781059461 235155805409 302343178383 705467416227 2116402248681