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20624465504 = 254118618447
BaseRepresentation
bin10011001101010100…
…000101111001100000
31222020100120101212202
4103031110011321200
5314214330344004
613250313512332
71330044031016
oct231524057140
958210511782
1020624465504
118823a78215
123bb71126a8
131c38b8b356
14dd91da8b6
1580a9bcb1e
hex4cd505e60

20624465504 has 48 divisors (see below), whose sum is σ = 41622045696. Its totient is φ = 10054118400.

The previous prime is 20624465489. The next prime is 20624465507. The reversal of 20624465504 is 40556442602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20624465507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2437409 + ... + 2445855.

It is an arithmetic number, because the mean of its divisors is an integer number (867125952).

Almost surely, 220624465504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20624465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20811022848).

20624465504 is an abundant number, since it is smaller than the sum of its proper divisors (20997580192).

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

20624465504 is a wasteful number, since it uses less digits than its factorization.

20624465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 20624465504 in words is "twenty billion, six hundred twenty-four million, four hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1861 3722 7444 8447 14888 16894 29776 33788 59552 67576 76301 135152 152602 270304 305204 346327 610408 692654 1220816 1385308 2441632 2770616 5541232 11082464 15719867 31439734 62879468 125758936 251517872 503035744 644514547 1289029094 2578058188 5156116376 10312232752 20624465504