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503000104430226 = 2313192835092356219
BaseRepresentation
bin111001001011110011101011…
…0100010111110101010010010
32102221222100012010100112012210
41302113213112202332222102
51011412123203213231401
64541443020303332550
7210643362332025204
oct16227472642765222
92387870163315183
10503000104430226
111362a9167846517
12484b89592b1156
1318788924a28a10
148c2d499178774
153d242c13be4d6
hex1c979d68bea92

503000104430226 has 128 divisors (see below), whose sum is σ = 1146683680128000. Its totient is φ = 145818302029056.

The previous prime is 503000104430179. The next prime is 503000104430231. The reversal of 503000104430226 is 622034401000305.

It is a super-2 number, since 2×5030001044302262 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 503000104430193 and 503000104430202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212299545 + ... + 214655763.

It is an arithmetic number, because the mean of its divisors is an integer number (8958466251000).

Almost surely, 2503000104430226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503000104430226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573341840064000).

503000104430226 is an abundant number, since it is smaller than the sum of its proper divisors (643683575697774).

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

503000104430226 is a wasteful number, since it uses less digits than its factorization.

503000104430226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357048.

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 503000104430226 in words is "five hundred three trillion, one hundred four million, four hundred thirty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 283 494 509 566 741 849 1018 1482 1527 1698 3054 3679 5377 6617 7358 9671 10754 11037 13234 16131 19342 19851 22074 29013 32262 39702 58026 69901 125723 139802 144047 209703 251446 288094 377169 419406 432141 754338 864282 1872611 2356219 2736893 3745222 4712438 5473786 5617833 7068657 8210679 11235666 14137314 16421358 30630847 35579609 44768161 61261694 71159218 89536322 91892541 106738827 134304483 183785082 213477654 268608966 581986093 666809977 1163972186 1199315471 1333619954 1745958279 2000429931 2398630942 3491916558 3597946413 4000859862 7195892826 8668529701 12669389563 15591101123 17337059402 22786993949 25338779126 26005589103 31182202246 38008168689 45573987898 46773303369 52011178206 68360981847 76016337378 93546606738 136721963694 164702064319 296230921337 329404128638 339406278293 494106192957 592461842674 678812556586 888692764011 988212385914 1018218834879 1777385528022 2036437669758 4412281617809 6448719287567 8824563235618 12897438575134 13236844853427 19346157862701 26473689706854 38692315725402 83833350738371 167666701476742 251500052215113 503000104430226