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20001255504 = 243716778669
BaseRepresentation
bin10010101000001010…
…101111000001010000
31220121220220001110220
4102220022233001100
5311430310134004
613104412153040
71305435603156
oct225012570120
956556801426
1020001255504
11853420732a
123a62468780
131b69a27239
14d7a5313d6
157c0e17dd9
hex4a82af050

20001255504 has 80 divisors (see below), whose sum is σ = 52481105280. Its totient is φ = 6562716160.

The previous prime is 20001255503. The next prime is 20001255509. The reversal of 20001255504 is 40555210002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001255503) by changing a digit.

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, 2302882 + ... + 2311550.

It is an arithmetic number, because the mean of its divisors is an integer number (656013816).

Almost surely, 220001255504 is an apocalyptic number.

20001255504 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 20001255504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240552640).

20001255504 is an abundant number, since it is smaller than the sum of its proper divisors (32479849776).

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

20001255504 is a wasteful number, since it uses less digits than its factorization.

20001255504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 20001255504 its reverse (40555210002), we get a palindrome (60556465506).

The spelling of 20001255504 in words is "twenty billion, one million, two hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 677 852 1136 1354 1704 2031 2708 3408 4062 5416 8124 8669 10832 16248 17338 26007 32496 34676 48067 52014 69352 96134 104028 138704 144201 192268 208056 288402 384536 416112 576804 615499 769072 1153608 1230998 1846497 2307216 2461996 3692994 4923992 5868913 7385988 9847984 11737826 14771976 17606739 23475652 29543952 35213478 46951304 70426956 93902608 140853912 281707824 416692823 833385646 1250078469 1666771292 2500156938 3333542584 5000313876 6667085168 10000627752 20001255504