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3681819039816 = 2332192691388187
BaseRepresentation
bin110101100100111101100…
…001000001100001001000
3111000222102022002012110100
4311210331201001201020
5440310331133233231
611455223155445400
7530000623320561
oct65447541014110
914028368065410
103681819039816
11119a4a5954945
124b56898b6860
1320926a41a628
14ca2b5747168
1565b8c5ea1e6
hex3593d841848

3681819039816 has 48 divisors (see below), whose sum is σ = 10496413933200. Its totient is φ = 1162679696352.

The previous prime is 3681819039803. The next prime is 3681819039817. The reversal of 3681819039816 is 6189309181863.

3681819039816 is a `hidden beast` number, since 3 + 6 + 81 + 81 + 90 + 398 + 1 + 6 = 666.

It is a super-2 number, since 2×36818190398162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3681819039817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1345692726 + ... + 1345695461.

It is an arithmetic number, because the mean of its divisors is an integer number (218675290275).

Almost surely, 23681819039816 is an apocalyptic number.

3681819039816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3681819039816 is an abundant number, since it is smaller than the sum of its proper divisors (6814594893384).

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

3681819039816 is a wasteful number, since it uses less digits than its factorization.

3681819039816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691388218 (or 2691388211 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 3681819039816 in words is "three trillion, six hundred eighty-one billion, eight hundred nineteen million, thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2691388187 5382776374 8074164561 10765552748 16148329122 21531105496 24222493683 32296658244 48444987366 51136375553 64593316488 96889974732 102272751106 153409126659 193779949464 204545502212 306818253318 409091004424 460227379977 613636506636 920454759954 1227273013272 1840909519908 3681819039816