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3619106816 = 2121367967
BaseRepresentation
bin1101011110110111…
…0011000000000000
3100100012222200020012
43113231303000000
524402442404231
61355042004052
7155453620553
oct32755630000
910305880205
103619106816
111597989576
12850046628
13458a3cb30
1426492469a
15162ad7e2b
hexd7b73000

3619106816 has 52 divisors (see below), whose sum is σ = 7794162432. Its totient is φ = 1670332416.

The previous prime is 3619106797. The next prime is 3619106819. The reversal of 3619106816 is 6186019163.

It is a tau number, because it is divible by the number of its divisors (52).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3619106819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19265 + ... + 87231.

Almost surely, 23619106816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3619106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897081216).

3619106816 is an abundant number, since it is smaller than the sum of its proper divisors (4175055616).

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

3619106816 is an equidigital number, since it uses as much as digits as its factorization.

3619106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68004 (or 67982 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 3619106816 is about 60159.0127578570. The cubic root of 3619106816 is about 1535.3255140493.

The spelling of 3619106816 in words is "three billion, six hundred nineteen million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 13312 26624 53248 67967 135934 271868 543736 883571 1087472 1767142 2174944 3534284 4349888 7068568 8699776 14137136 17399552 28274272 34799104 56548544 69598208 113097088 139196416 226194176 278392832 452388352 904776704 1809553408 3619106816