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5803220538 = 236171371709
BaseRepresentation
bin1010110011110011…
…00001111000111010
3112222102210011000000
411121321201320322
543341111024123
62355503053430
7263544363213
oct53171417072
915872704000
105803220538
112508848535
12115b5a1276
1371639b60b
143d0a2840a
1523e717b43
hex159e61e3a

5803220538 has 112 divisors (see below), whose sum is σ = 13928011560. Its totient is φ = 1806271488.

The previous prime is 5803220461. The next prime is 5803220539. The reversal of 5803220538 is 8350223085.

5803220538 is a `hidden beast` number, since 580 + 3 + 2 + 20 + 53 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5046255369 + 756965169 = 71037^2 + 27513^2 .

It is a super-2 number, since 2×58032205382 = 67354737225330018888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5803220539) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3394828 + ... + 3396536.

Almost surely, 25803220538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5803220538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964005780).

5803220538 is an abundant number, since it is smaller than the sum of its proper divisors (8124791022).

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

5803220538 is a wasteful number, since it uses less digits than its factorization.

5803220538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5803220538 is about 76178.8719921738. The cubic root of 5803220538 is about 1797.0342662522.

The spelling of 5803220538 in words is "five billion, eight hundred three million, two hundred twenty thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 137 153 162 243 274 306 411 459 486 729 822 918 1233 1377 1458 1709 2329 2466 2754 3418 3699 4131 4658 5127 6987 7398 8262 10254 11097 12393 13974 15381 20961 22194 24786 29053 30762 33291 41922 46143 58106 62883 66582 87159 92286 99873 125766 138429 174318 188649 199746 234133 261477 276858 377298 415287 468266 522954 565947 702399 784431 830574 1131894 1245861 1404798 1568862 1697841 2107197 2353293 2491722 3395682 3980261 4214394 4706586 6321591 7059879 7960522 11940783 12643182 14119758 18964773 21179637 23881566 35822349 37929546 42359274 56894319 71644698 107467047 113788638 170682957 214934094 322401141 341365914 644802282 967203423 1934406846 2901610269 5803220538