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20400344510 = 2571397239967
BaseRepresentation
bin10010111111111101…
…001000110110111110
31221122201211212200012
4102333331020312332
5313234442011020
613212150103222
71321353032030
oct227775106676
957581755605
1020400344510
11871950a857
123b5404ab12
131c01609c90
14db7539c50
157e5e9b7c5
hex4bff48dbe

20400344510 has 128 divisors (see below), whose sum is σ = 45898997760. Its totient is φ = 6356496384.

The previous prime is 20400344473. The next prime is 20400344513. The reversal of 20400344510 is 1544300402.

20400344510 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204003445102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400344513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21096047 + ... + 21097013.

It is an arithmetic number, because the mean of its divisors is an integer number (358585920).

Almost surely, 220400344510 is an apocalyptic number.

20400344510 is an abundant number, since it is smaller than the sum of its proper divisors (25498653250).

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

20400344510 is a wasteful number, since it uses less digits than its factorization.

20400344510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330.

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 20400344510 its reverse (1544300402), we get a palindrome (21944644912).

The spelling of 20400344510 in words is "twenty billion, four hundred million, three hundred forty-four thousand, five hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 97 130 182 194 239 455 478 485 679 910 967 970 1195 1261 1358 1673 1934 2390 2522 3107 3346 3395 4835 6214 6305 6769 6790 8365 8827 9670 12571 12610 13538 15535 16730 17654 21749 23183 25142 31070 33845 43498 44135 46366 62855 67690 87997 88270 93799 108745 115915 125710 162281 175994 187598 217490 231113 231830 301379 324562 439985 462226 468995 602758 656593 811405 879970 937990 1155565 1219387 1313186 1506895 1617791 1622810 2109653 2311130 2438774 3004469 3013790 3235582 3282965 4219306 6008938 6096935 6565930 8088955 8535709 10548265 12193870 15022345 16177910 17071418 21031283 21096530 22417961 30044690 42062566 42678545 44835922 85357090 105156415 112089805 156925727 210312830 224179610 291433493 313851454 582866986 784628635 1457167465 1569257270 2040034451 2914334930 4080068902 10200172255 20400344510