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20297902872 = 23313732693313
BaseRepresentation
bin10010111001110110…
…010110101100011000
31221101121002022011110
4102321312112230120
5313032230342442
613154050300320
71316000220252
oct227166265430
957347068143
1020297902872
118676700945
123b258876a0
131bb6320020
14da7ab0cd2
157dbeb369c
hex4b9d96b18

20297902872 has 128 divisors (see below), whose sum is σ = 55619524800. Its totient is φ = 6135201792.

The previous prime is 20297902871. The next prime is 20297902909. The reversal of 20297902872 is 27820979202.

It is a super-3 number, since 3×202979028723 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20297902871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6125088 + ... + 6128400.

Almost surely, 220297902872 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 20297902872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27809762400).

20297902872 is an abundant number, since it is smaller than the sum of its proper divisors (35321621928).

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

20297902872 is a wasteful number, since it uses less digits than its factorization.

20297902872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 20297902872 in words is "twenty billion, two hundred ninety-seven million, nine hundred two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 269 292 312 438 538 584 807 876 949 1076 1614 1752 1898 2152 2847 3228 3313 3497 3796 5694 6456 6626 6994 7592 9939 10491 11388 13252 13988 19637 19878 20982 22776 26504 27976 39274 39756 41964 43069 58911 78548 79512 83928 86138 117822 129207 157096 172276 235644 241849 255281 258414 344552 471288 483698 510562 516828 725547 765843 891197 967396 1021124 1033656 1451094 1531686 1782394 1934792 2042248 2673591 2902188 3063372 3144037 3564788 5347182 5804376 6126744 6288074 7129576 9432111 10694364 11585561 12576148 18864222 21388728 23171122 25152296 34756683 37728444 46342244 65057381 69513366 75456888 92684488 130114762 139026732 195172143 260229524 278053464 390344286 520459048 780688572 845745953 1561377144 1691491906 2537237859 3382983812 5074475718 6765967624 10148951436 20297902872