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3845608020 = 2232521364489
BaseRepresentation
bin1110010100110111…
…0101001001010100
3100221000012010110200
43211031311021110
530333433424040
61433332420500
7164204062122
oct34515651124
910830163420
103845608020
1116a3822251
128b3a77730
13493945707
14286a44912
15177929630
hexe5375254

3845608020 has 36 divisors (see below), whose sum is σ = 11665011540. Its totient is φ = 1025495424.

The previous prime is 3845608007. The next prime is 3845608021. The reversal of 3845608020 is 208065483.

3845608020 is a `hidden beast` number, since 3 + 8 + 45 + 608 + 0 + 2 + 0 = 666.

3845608020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1734389316 + 2111218704 = 41646^2 + 45948^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845608021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10682065 + ... + 10682424.

Almost surely, 23845608020 is an apocalyptic number.

3845608020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3845608020 is an abundant number, since it is smaller than the sum of its proper divisors (7819403520).

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

3845608020 is a wasteful number, since it uses less digits than its factorization.

3845608020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21364504 (or 21364499 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3845608020 is about 62012.9665473278. The cubic root of 3845608020 is about 1566.7090001136.

The spelling of 3845608020 in words is "three billion, eight hundred forty-five million, six hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21364489 42728978 64093467 85457956 106822445 128186934 192280401 213644890 256373868 320467335 384560802 427289780 640934670 769121604 961402005 1281869340 1922804010 3845608020