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3920097216 = 26372416677
BaseRepresentation
bin1110100110100111…
…1110111111000000
3101010012100120102210
43221221332333000
531012021102331
61444553142120
7166100163600
oct35151767700
911105316383
103920097216
11173187a072
129149ba940
134a61c6669
142928b4c00
1517e240446
hexe9a7efc0

3920097216 has 84 divisors (see below), whose sum is σ = 12065328168. Its totient is φ = 1120025088.

The previous prime is 3920097211. The next prime is 3920097217. The reversal of 3920097216 is 6127900293.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920097211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198931 + ... + 217746.

Almost surely, 23920097216 is an apocalyptic number.

It is an amenable number.

3920097216 is an abundant number, since it is smaller than the sum of its proper divisors (8145230952).

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

3920097216 is a wasteful number, since it uses less digits than its factorization.

3920097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416706 (or 416689 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3920097216 is about 62610.6797279825. The cubic root of 3920097216 is about 1576.7600669554.

The spelling of 3920097216 in words is "three billion, nine hundred twenty million, ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 416677 833354 1250031 1666708 2500062 2916739 3333416 5000124 5833478 6666832 8750217 10000248 11666956 13333664 17500434 20000496 20417173 23333912 26667328 35000868 40000992 40834346 46667824 61251519 70001736 80001984 81668692 93335648 122503038 140003472 163337384 186671296 245006076 280006944 326674768 490012152 560013888 653349536 980024304 1306699072 1960048608 3920097216