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1982019168 = 25326882011
BaseRepresentation
bin111011000100011…
…0011011001100000
312010010112000011100
41312020303121200
513024344103133
6524401314400
7100054612353
oct16610633140
95103460140
101982019168
11927886378
12473935a00
1325782000c
1414b33829a
15b900ee13
hex76233660

1982019168 has 36 divisors (see below), whose sum is σ = 5636367828. Its totient is φ = 660672960.

The previous prime is 1982019161. The next prime is 1982019191. The reversal of 1982019168 is 8619102891.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982019161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3440718 + ... + 3441293.

It is an arithmetic number, because the mean of its divisors is an integer number (156565773).

Almost surely, 21982019168 is an apocalyptic number.

1982019168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1982019168 is an abundant number, since it is smaller than the sum of its proper divisors (3654348660).

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

1982019168 is a wasteful number, since it uses less digits than its factorization.

1982019168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882027 (or 6882016 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1982019168 is about 44519.8738542687. The cubic root of 1982019168 is about 1256.1339397643.

The spelling of 1982019168 in words is "one billion, nine hundred eighty-two million, nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6882011 13764022 20646033 27528044 41292066 55056088 61938099 82584132 110112176 123876198 165168264 220224352 247752396 330336528 495504792 660673056 991009584 1982019168