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20093922000 = 2432531116329
BaseRepresentation
bin10010101101101100…
…001110101011010000
31220212101021000000100
4102231230032223100
5312123021001000
613121522252400
71310642342655
oct225554165320
956771230010
1020093922000
11858154a009
123a894b7100
131b82ca0a99
14d88973c2c
157c911ea00
hex4adb0ead0

20093922000 has 120 divisors (see below), whose sum is σ = 70181434440. Its totient is φ = 5358374400.

The previous prime is 20093921957. The next prime is 20093922007. The reversal of 20093922000 is 22939002.

It can be written as a sum of positive squares in 4 ways, for example, as 1350121536 + 18743800464 = 36744^2 + 136908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20093922007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 540165 + ... + 576164.

It is an arithmetic number, because the mean of its divisors is an integer number (584845287).

Almost surely, 220093922000 is an apocalyptic number.

20093922000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20093922000 is an abundant number, since it is smaller than the sum of its proper divisors (50087512440).

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

20093922000 is a wasteful number, since it uses less digits than its factorization.

20093922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116358 (or 1116339 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 20093922000 in words is "twenty billion, ninety-three million, nine hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 1116329 2232658 3348987 4465316 5581645 6697974 8930632 10046961 11163290 13395948 16744935 17861264 20093922 22326580 26791896 27908225 33489870 40187844 44653160 50234805 53583792 55816450 66979740 80375688 83724675 89306320 100469610 111632900 133959480 139541125 160751376 167449350 200939220 223265800 251174025 267918960 279082250 334898700 401878440 418623375 446531600 502348050 558164500 669797400 803756880 837246750 1004696100 1116329000 1255870125 1339594800 1674493500 2009392200 2232658000 2511740250 3348987000 4018784400 5023480500 6697974000 10046961000 20093922000