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2104357968 = 24341623733
BaseRepresentation
bin111110101101101…
…1111010001010000
312102122201110110000
41331123133101100
513302203423333
6544451410000
7103101514266
oct17533372120
95378643400
102104357968
1198a945319
124a88b3900
13276c8563b
1415d6a2436
15c4b28713
hex7d6df450

2104357968 has 50 divisors (see below), whose sum is σ = 6090626234. Its totient is φ = 701452224.

The previous prime is 2104357963. The next prime is 2104357993. The reversal of 2104357968 is 8697534012.

2104357968 is a `hidden beast` number, since 2 + 10 + 4 + 3 + 579 + 68 = 666.

2104357968 is digitally balanced in base 10, 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 only one way, i.e., 1872465984 + 231891984 = 43272^2 + 15228^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

2104357968 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104357963) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 810571 + ... + 813162.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2104357968 = 4208715936, but 3⋅2104357968 = 6313073904 is not.

Almost surely, 22104357968 is an apocalyptic number.

It is an amenable number.

2104357968 is an abundant number, since it is smaller than the sum of its proper divisors (3986268266).

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

2104357968 is a wasteful number, since it uses less digits than its factorization.

2104357968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623753 (or 1623738 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2104357968 is about 45873.2816353921. The cubic root of 2104357968 is about 1281.4643819799.

The spelling of 2104357968 in words is "two billion, one hundred four million, three hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1623733 3247466 4871199 6494932 9742398 12989864 14613597 19484796 25979728 29227194 38969592 43840791 58454388 77939184 87681582 116908776 131522373 175363164 233817552 263044746 350726328 526089492 701452656 1052178984 2104357968