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3680036016 = 243413076091
BaseRepresentation
bin1101101101011000…
…1110010010110000
3100111110122012101020
43123112032102300
530014042123031
61405055535440
7160123534656
oct33326162260
910443565336
103680036016
111619314588
1286852a580
13468553a07
1426ca64dd6
15168121096
hexdb58e4b0

3680036016 has 80 divisors (see below), whose sum is σ = 9771957888. Its totient is φ = 1192665600.

The previous prime is 3680035963. The next prime is 3680036027. The reversal of 3680036016 is 6106300863.

3680036016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601131 + ... + 607221.

Almost surely, 23680036016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680036016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885978944).

3680036016 is an abundant number, since it is smaller than the sum of its proper divisors (6091921872).

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

3680036016 is a wasteful number, since it uses less digits than its factorization.

3680036016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3680036016 is about 60663.3004047752. The cubic root of 3680036016 is about 1543.8935625125.

Adding to 3680036016 its reverse (6106300863), we get a palindrome (9786336879).

The spelling of 3680036016 in words is "three billion, six hundred eighty million, thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 307 328 492 614 656 921 984 1228 1842 1968 2456 3684 4912 6091 7368 12182 12587 14736 18273 24364 25174 36546 37761 48728 50348 73092 75522 97456 100696 146184 151044 201392 249731 292368 302088 499462 604176 749193 998924 1498386 1869937 1997848 2996772 3739874 3995696 5609811 5993544 7479748 11219622 11987088 14959496 22439244 29918992 44878488 76667417 89756976 153334834 230002251 306669668 460004502 613339336 920009004 1226678672 1840018008 3680036016