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20052043776 = 21134120877
BaseRepresentation
bin10010101011001100…
…011110100000000000
31220202110110100220000
4102223030132200000
5312031310400101
613113424520000
71306623363012
oct225314364000
956673410800
1020052043776
11855a946306
123a77480000
131b773ca37b
14d831921b2
157c55eb486
hex4ab31e800

20052043776 has 120 divisors (see below), whose sum is σ = 59894444610. Its totient is φ = 6683959296.

The previous prime is 20052043733. The next prime is 20052043777. The reversal of 20052043776 is 67734025002.

It is a happy number.

20052043776 is a `hidden beast` number, since 20 + 0 + 520 + 43 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18714240000 + 1337803776 = 136800^2 + 36576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20052043776.

It is not an unprimeable number, because it can be changed into a prime (20052043777) 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 9 ways as a sum of consecutive naturals, for example, 105450 + ... + 226326.

Almost surely, 220052043776 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 20052043776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29947222305).

20052043776 is an abundant number, since it is smaller than the sum of its proper divisors (39842400834).

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

20052043776 is an equidigital number, since it uses as much as digits as its factorization.

20052043776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120911 (or 120882 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 20052043776 its reverse (67734025002), we get a palindrome (87786068778).

The spelling of 20052043776 in words is "twenty billion, fifty-two million, forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 41472 55296 82944 120877 165888 241754 362631 483508 725262 967016 1087893 1450524 1934032 2175786 2901048 3263679 3868064 4351572 5802096 6527358 7736128 8703144 9791037 11604192 13054716 15472256 17406288 19582074 23208384 26109432 30944512 34812576 39164148 46416768 52218864 61889024 69625152 78328296 92833536 104437728 123778048 139250304 156656592 185667072 208875456 247556096 278500608 313313184 371334144 417750912 557001216 626626368 742668288 835501824 1114002432 1253252736 1671003648 2228004864 2506505472 3342007296 5013010944 6684014592 10026021888 20052043776