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3780147825 = 33522926659
BaseRepresentation
bin1110000101010000…
…0111101001110001
3100202110000101222000
43201110013221301
530220204212300
61423033404213
7162450504066
oct34124075161
910673011860
103780147825
11166a882013
12895b69669
1348320637c
1427c084c6d
15171ce8c00
hexe1507a71

3780147825 has 72 divisors (see below), whose sum is σ = 7193066400. Its totient is φ = 1946266560.

The previous prime is 3780147823. The next prime is 3780147859. The reversal of 3780147825 is 5287410873.

It is not a de Polignac number, because 3780147825 - 21 = 3780147823 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3780147823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 564346 + ... + 571004.

It is an arithmetic number, because the mean of its divisors is an integer number (99903700).

Almost surely, 23780147825 is an apocalyptic number.

It is an amenable number.

3780147825 is a deficient number, since it is larger than the sum of its proper divisors (3412918575).

3780147825 is a wasteful number, since it uses less digits than its factorization.

3780147825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 3780147825 is about 61482.9067709067. The cubic root of 3780147825 is about 1557.7685366515.

The spelling of 3780147825 in words is "three billion, seven hundred eighty million, one hundred forty-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 135 145 225 261 435 675 725 783 841 1305 2175 2523 3915 4205 6525 6659 7569 12615 19575 19977 21025 22707 33295 37845 59931 63075 99885 113535 166475 179793 189225 193111 299655 499425 567675 579333 898965 965555 1498275 1737999 2896665 4494825 4827775 5213997 5600219 8689995 14483325 16800657 26069985 28001095 43449975 50401971 84003285 130349925 140005475 151205913 252009855 420016425 756029565 1260049275 3780147825