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20213335480 = 23513312235623
BaseRepresentation
bin10010110100110011…
…110000010110111000
31221011200221211111211
4102310303300112320
5312344103213410
613141425532504
71313622342142
oct226463602670
957150854454
1020213335480
1186329a0138
123b014a4134
131ba1950a50
14d9a779c92
157d485b68a
hex4b4cf05b8

20213335480 has 128 divisors (see below), whose sum is σ = 50794168320. Its totient is φ = 7188963840.

The previous prime is 20213335447. The next prime is 20213335487. The reversal of 20213335480 is 8453331202.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213335487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3591949 + ... + 3597571.

It is an arithmetic number, because the mean of its divisors is an integer number (396829440).

Almost surely, 220213335480 is an apocalyptic number.

20213335480 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 20213335480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25397084160).

20213335480 is an abundant number, since it is smaller than the sum of its proper divisors (30580832840).

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

20213335480 is a wasteful number, since it uses less digits than its factorization.

20213335480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 20213335480 its reverse (8453331202), we get a palindrome (28666666682).

The spelling of 20213335480 in words is "twenty billion, two hundred thirteen million, three hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 223 248 260 310 403 446 520 620 806 892 1115 1240 1612 1784 2015 2230 2899 3224 4030 4460 5623 5798 6913 8060 8920 11246 11596 13826 14495 16120 22492 23192 27652 28115 28990 34565 44984 55304 56230 57980 69130 73099 89869 112460 115960 138260 146198 174313 179738 224920 276520 292396 348626 359476 365495 449345 584792 697252 718952 730990 871565 898690 1253929 1394504 1461980 1743130 1797380 2266069 2507858 2923960 3486260 3594760 4532138 5015716 6269645 6972520 9064276 10031432 11330345 12539290 16301077 18128552 22660690 25078580 32602154 38871799 45321380 50157160 65204308 77743598 81505385 90642760 130408616 155487196 163010770 194358995 310974392 326021540 388717990 505333387 652043080 777435980 1010666774 1554871960 2021333548 2526666935 4042667096 5053333870 10106667740 20213335480