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3681119016 = 2332280118253
BaseRepresentation
bin1101101101101001…
…0110101100101000
3100111112200012222100
43123122112230220
530014331302031
61405135053400
7160135665261
oct33332265450
910445605870
103681119016
111619994223
12868971260
13468842943
1426cc67968
15168286de6
hexdb696b28

3681119016 has 48 divisors (see below), whose sum is σ = 9973803060. Its totient is φ = 1226534400.

The previous prime is 3681119009. The next prime is 3681119027. The reversal of 3681119016 is 6109111863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3221016516 + 460102500 = 56754^2 + 21450^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 192546 + ... + 210798.

Almost surely, 23681119016 is an apocalyptic number.

3681119016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3681119016 is an abundant number, since it is smaller than the sum of its proper divisors (6292684044).

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

3681119016 is a wasteful number, since it uses less digits than its factorization.

3681119016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21066 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 3681119016 is about 60672.2260676168. The cubic root of 3681119016 is about 1544.0449987780.

The spelling of 3681119016 in words is "three billion, six hundred eighty-one million, one hundred nineteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2801 5602 8403 11204 16806 18253 22408 25209 33612 36506 50418 54759 67224 73012 100836 109518 146024 164277 201672 219036 328554 438072 657108 1314216 51126653 102253306 153379959 204506612 306759918 409013224 460139877 613519836 920279754 1227039672 1840559508 3681119016