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3675180704 = 251361144829
BaseRepresentation
bin1101101100001110…
…1100111010100000
3100111010111112010212
43123003230322200
530011321240304
61404403513252
7160034343356
oct33303547240
910433445125
103675180704
1116165a8728
12866988828
13467543a50
1426c15d7d6
151679b266e
hexdb0ecea0

3675180704 has 48 divisors (see below), whose sum is σ = 7919883720. Its totient is φ = 1668418560.

The previous prime is 3675180703. The next prime is 3675180709. The reversal of 3675180704 is 4070815763.

3675180704 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 4 ways, for example, as 927324304 + 2747856400 = 30452^2 + 52420^2 .

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 (3675180703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47039 + ... + 97790.

Almost surely, 23675180704 is an apocalyptic number.

It is an amenable number.

3675180704 is an abundant number, since it is smaller than the sum of its proper divisors (4244703016).

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

3675180704 is a wasteful number, since it uses less digits than its factorization.

3675180704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144913 (or 144905 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 3675180704 is about 60623.2686680618. The cubic root of 3675180704 is about 1543.2142771271.

The spelling of 3675180704 in words is "three billion, six hundred seventy-five million, one hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 144829 289658 579316 1158632 1882777 2317264 3765554 4634528 7531108 8834569 15062216 17669138 30124432 35338276 60248864 70676552 114849397 141353104 229698794 282706208 459397588 918795176 1837590352 3675180704