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20627473920 = 293541109601
BaseRepresentation
bin10011001101011111…
…100100011000000000
31222020120020020122120
4103031133210120000
5314221113131140
613250502204240
71330111430634
oct231537443000
958216206576
1020627473920
118825742509
123bb8123680
131c396a2791
14dd9780dc4
1580adb41d0
hex4cd7e4600

20627473920 has 320 divisors, whose sum is σ = 68285004480. Its totient is φ = 5308416000.

The previous prime is 20627473903. The next prime is 20627473943. The reversal of 20627473920 is 2937472602.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34321620 + ... + 34322220.

It is an arithmetic number, because the mean of its divisors is an integer number (213390639).

Almost surely, 220627473920 is an apocalyptic number.

20627473920 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 20627473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34142502240).

20627473920 is an abundant number, since it is smaller than the sum of its proper divisors (47657530560).

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

20627473920 is a wasteful number, since it uses less digits than its factorization.

20627473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 20627473920 in words is "twenty billion, six hundred twenty-seven million, four hundred seventy-three thousand, nine hundred twenty".