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3681076311 = 321183447983
BaseRepresentation
bin1101101101101000…
…1100010001010111
3100111112121001101200
43123122030101113
530014323420221
61405134123543
7160135426623
oct33332142127
910445531350
103681076311
111619965130
128689505b3
13468829383
1426cc56183
15168279426
hexdb68c457

3681076311 has 24 divisors (see below), whose sum is σ = 5870382336. Its totient is φ = 2204071440.

The previous prime is 3681076297. The next prime is 3681076367. The reversal of 3681076311 is 1136701863.

3681076311 is a `hidden beast` number, since 3 + 6 + 8 + 10 + 7 + 631 + 1 = 666.

It is not a de Polignac number, because 3681076311 - 26 = 3681076247 is a prime.

It is a super-4 number, since 4×36810763114 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681076211) 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 23 ways as a sum of consecutive naturals, for example, 215775 + ... + 232208.

It is an arithmetic number, because the mean of its divisors is an integer number (244599264).

Almost surely, 23681076311 is an apocalyptic number.

3681076311 is a deficient number, since it is larger than the sum of its proper divisors (2189306025).

3681076311 is a wasteful number, since it uses less digits than its factorization.

3681076311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448083 (or 448080 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3681076311 is about 60671.8741345609. The cubic root of 3681076311 is about 1544.0390278856.

The spelling of 3681076311 in words is "three billion, six hundred eighty-one million, seventy-six thousand, three hundred eleven".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 447983 1343949 4031847 4927813 14783439 37182589 44350317 111547767 334643301 409008479 1227025437 3681076311