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38020289400 = 23325221122383
BaseRepresentation
bin100011011010001011…
…111001001101111000
310122010200212211002200
4203122023321031320
51110331143230100
625244414430200
72514115061532
oct433213711570
9118120784080
1038020289400
111514050a185
127450b02360
13377bb90282
141ba96b4852
15ec7cd0e00
hex8da2f9378

38020289400 has 72 divisors (see below), whose sum is σ = 127684811280. Its totient is φ = 10138743360.

The previous prime is 38020289399. The next prime is 38020289423. The reversal of 38020289400 is 498202083.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10559392 + ... + 10562991.

Almost surely, 238020289400 is an apocalyptic number.

38020289400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38020289400 is an abundant number, since it is smaller than the sum of its proper divisors (89664521880).

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

38020289400 is a wasteful number, since it uses less digits than its factorization.

38020289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122405 (or 21122393 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38020289400 in words is "thirty-eight billion, twenty million, two hundred eighty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 21122383 42244766 63367149 84489532 105611915 126734298 168979064 190101447 211223830 253468596 316835745 380202894 422447660 506937192 528059575 633671490 760405788 844895320 950507235 1056119150 1267342980 1520811576 1584178725 1901014470 2112238300 2534685960 3168357450 3802028940 4224476600 4752536175 6336714900 7604057880 9505072350 12673429800 19010144700 38020289400