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3828348317628 = 2232472262617209
BaseRepresentation
bin110111101101011011010…
…101110110111110111100
3111112222122011202202112200
4313231123111312332330
51000210424132131003
612050415142431500
7543406016532342
oct67553325667674
914488564682480
103828348317628
11124665890304a
12519b62132590
1321a01c911803
14d341619b992
15698b66526a3
hex37b5b576fbc

3828348317628 has 36 divisors (see below), whose sum is σ = 9883111973280. Its totient is φ = 1248964698816.

The previous prime is 3828348317609. The next prime is 3828348317653. The reversal of 3828348317628 is 8267138438283.

3828348317628 is a `hidden beast` number, since 3 + 8 + 2 + 83 + 483 + 1 + 76 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1131306913 + ... + 1131310296.

Almost surely, 23828348317628 is an apocalyptic number.

It is an amenable number.

3828348317628 is an abundant number, since it is smaller than the sum of its proper divisors (6054763655652).

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

3828348317628 is a wasteful number, since it uses less digits than its factorization.

3828348317628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262617266 (or 2262617261 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 3828348317628 in words is "three trillion, eight hundred twenty-eight billion, three hundred forty-eight million, three hundred seventeen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2262617209 4525234418 6787851627 9050468836 13575703254 20363554881 27151406508 40727109762 81454219524 106343008823 212686017646 319029026469 425372035292 638058052938 957087079407 1276116105876 1914174158814 3828348317628