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20669373504 = 2633133167443
BaseRepresentation
bin10011001111111111…
…011001110001000000
31222100111001222002000
4103033333121301000
5314312324423004
613255000224000
71331130530103
oct231777316100
958314058060
1020669373504
11884736026a
12400a16b000
131c45282b30
14100116a73a
1580e8ddc39
hex4cffd9c40

20669373504 has 448 divisors, whose sum is σ = 68712161280. Its totient is φ = 6049105920.

The previous prime is 20669373467. The next prime is 20669373509. The reversal of 20669373504 is 40537396602.

20669373504 is a `hidden beast` number, since 206 + 6 + 93 + 7 + 350 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20669373504.

It is not an unprimeable number, because it can be changed into a prime (20669373509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46657507 + ... + 46657949.

It is an arithmetic number, because the mean of its divisors is an integer number (153375360).

Almost surely, 220669373504 is an apocalyptic number.

20669373504 is a gapful number since it is divisible by the number (24) 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 20669373504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34356080640).

20669373504 is an abundant number, since it is smaller than the sum of its proper divisors (48042787776).

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

20669373504 is a wasteful number, since it uses less digits than its factorization.

20669373504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 20669373504 in words is "twenty billion, six hundred sixty-nine million, three hundred seventy-three thousand, five hundred four".