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20472192000 = 2103253131367
BaseRepresentation
bin10011000100001111…
…001101110000000000
31221211202001002220100
4103010033031300000
5313411340121000
613223234042400
71323214521651
oct230417156000
957752032810
1020472192000
118756022947
123b74119400
131c134746a0
14dc2cbd528
157ec43ea00
hex4c43cdc00

20472192000 has 528 divisors, whose sum is σ = 79506004032. Its totient is φ = 5035622400.

The previous prime is 20472191963. The next prime is 20472192011. The reversal of 20472192000 is 29127402.

20472192000 is a `hidden beast` number, since 2 + 0 + 472 + 192 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×204721920002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14975317 + ... + 14976683.

Almost surely, 220472192000 is an apocalyptic number.

20472192000 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 20472192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39753002016).

20472192000 is an abundant number, since it is smaller than the sum of its proper divisors (59033812032).

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

20472192000 is a wasteful number, since it uses less digits than its factorization.

20472192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20472192000 in words is "twenty billion, four hundred seventy-two million, one hundred ninety-two thousand".