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20423504000 = 27535992131
BaseRepresentation
bin10011000001010101…
…011111000010000000
31221201100102111112002
4103001111133002000
5313311404112000
613214334323132
71322053630304
oct230125370200
957640374462
1020423504000
118730598929
123b5b9594a8
131c06358513
14dba647d04
157e80238d5
hex4c155f080

20423504000 has 128 divisors (see below), whose sum is σ = 50886576000. Its totient is φ = 8151936000.

The previous prime is 20423503981. The next prime is 20423504021. The reversal of 20423504000 is 40532402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×204235040003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9582935 + ... + 9585065.

It is an arithmetic number, because the mean of its divisors is an integer number (397551375).

Almost surely, 220423504000 is an apocalyptic number.

20423504000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20423504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443288000).

20423504000 is an abundant number, since it is smaller than the sum of its proper divisors (30463072000).

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

20423504000 is an equidigital number, since it uses as much as digits as its factorization.

20423504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The spelling of 20423504000 in words is "twenty billion, four hundred twenty-three million, five hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 599 640 800 1000 1198 1600 2000 2131 2396 2995 3200 4000 4262 4792 5990 8000 8524 9584 10655 11980 14975 16000 17048 19168 21310 23960 29950 34096 38336 42620 47920 53275 59900 68192 74875 76672 85240 95840 106550 119800 136384 149750 170480 191680 213100 239600 266375 272768 299500 340960 383360 426200 479200 532750 599000 681920 852400 958400 1065500 1198000 1276469 1363840 1704800 1916800 2131000 2396000 2552938 3409600 4262000 4792000 5105876 6382345 6819200 8524000 9584000 10211752 12764690 17048000 20423504 25529380 31911725 34096000 40847008 51058760 63823450 81694016 102117520 127646900 159558625 163388032 204235040 255293800 319117250 408470080 510587600 638234500 816940160 1021175200 1276469000 2042350400 2552938000 4084700800 5105876000 10211752000 20423504000