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3675950820 = 2232520421949
BaseRepresentation
bin1101101100011010…
…1000111011100100
3100111011221122112200
43123012220323210
530012020411240
61404432214500
7160044031533
oct33306507344
910434848480
103675950820
111616a84293
1286709a430
13467753439
1426c2c031a
15167ab5930
hexdb1a8ee4

3675950820 has 36 divisors (see below), whose sum is σ = 11150384700. Its totient is φ = 980253504.

The previous prime is 3675950807. The next prime is 3675950849. The reversal of 3675950820 is 280595763.

It is a happy number.

3675950820 is a `hidden beast` number, since 36 + 7 + 595 + 0 + 8 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2714826816 + 961124004 = 52104^2 + 31002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×36759508202 = 27025228862117344800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10210795 + ... + 10211154.

Almost surely, 23675950820 is an apocalyptic number.

3675950820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3675950820 is an abundant number, since it is smaller than the sum of its proper divisors (7474433880).

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

3675950820 is a wasteful number, since it uses less digits than its factorization.

3675950820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20421964 (or 20421959 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3675950820 is about 60629.6199889130. The cubic root of 3675950820 is about 1543.3220605805.

The spelling of 3675950820 in words is "three billion, six hundred seventy-five million, nine hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20421949 40843898 61265847 81687796 102109745 122531694 183797541 204219490 245063388 306329235 367595082 408438980 612658470 735190164 918987705 1225316940 1837975410 3675950820