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3801692736 = 26326600161
BaseRepresentation
bin1110001010011001…
…0011101001000000
3100210221120000000200
43202212103221000
530241213131421
61425123245200
7163131566202
oct34246235100
910727500020
103801692736
111680a58026
128a1219800
1348780aa3a
14280c92772
15173b52726
hexe2993a40

3801692736 has 42 divisors (see below), whose sum is σ = 10896867462. Its totient is φ = 1267230720.

The previous prime is 3801692731. The next prime is 3801692771. The reversal of 3801692736 is 6372961083.

It can be written as a sum of positive squares in only one way, i.e., 3801462336 + 230400 = 61656^2 + 480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3801692691 and 3801692700.

It is not an unprimeable number, because it can be changed into a prime (3801692731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3299505 + ... + 3300656.

Almost surely, 23801692736 is an apocalyptic number.

3801692736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3801692736 is an abundant number, since it is smaller than the sum of its proper divisors (7095174726).

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

3801692736 is a wasteful number, since it uses less digits than its factorization.

3801692736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600179 (or 6600166 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3801692736 is about 61657.8684029865. The cubic root of 3801692736 is about 1560.7224267380.

The spelling of 3801692736 in words is "three billion, eight hundred one million, six hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6600161 13200322 19800483 26400644 39600966 52801288 59401449 79201932 105602576 118802898 158403864 211205152 237605796 316807728 422410304 475211592 633615456 950423184 1267230912 1900846368 3801692736