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5000093532 = 2232759973467
BaseRepresentation
bin1001010100000011…
…10101111101011100
3110220110120001212100
410222001311331130
540220010443112
62144053205100
7234623044110
oct45201657534
913813501770
105000093532
112136471305
12b76630790
13618b92335
143560c7740
151e3e742dc
hex12a075f5c

5000093532 has 144 divisors (see below), whose sum is σ = 14845259520. Its totient is φ = 1389505536.

The previous prime is 5000093513. The next prime is 5000093537. The reversal of 5000093532 is 2353900005.

It is a junction number, because it is equal to n+sod(n) for n = 5000093496 and 5000093505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000093537) 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 47 ways as a sum of consecutive naturals, for example, 1440463 + ... + 1443929.

It is an arithmetic number, because the mean of its divisors is an integer number (103092080).

Almost surely, 25000093532 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 5000093532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422629760).

5000093532 is an abundant number, since it is smaller than the sum of its proper divisors (9845165988).

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

5000093532 is a wasteful number, since it uses less digits than its factorization.

5000093532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5000093532 is about 70711.3394866764. The cubic root of 5000093532 is about 1709.9866091082.

Adding to 5000093532 its reverse (2353900005), we get a palindrome (7353993537).

The spelling of 5000093532 in words is "five billion, ninety-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 97 118 126 177 194 236 252 291 354 388 413 531 582 679 708 826 873 1062 1164 1239 1358 1652 1746 2037 2124 2478 2716 3467 3492 3717 4074 4956 5723 6111 6934 7434 8148 10401 11446 12222 13868 14868 17169 20802 22892 24269 24444 31203 34338 40061 41604 48538 51507 62406 68676 72807 80122 97076 103014 120183 124812 145614 160244 204553 206028 218421 240366 291228 336299 360549 409106 436842 480732 613659 672598 721098 818212 873684 1008897 1227318 1345196 1431871 1442196 1840977 2017794 2354093 2454636 2863742 3026691 3681954 4035588 4295613 4708186 5727484 6053382 7062279 7363908 8591226 9416372 12106764 12886839 14124558 17182452 19841641 21186837 25773678 28249116 39683282 42373674 51547356 59524923 79366564 84747348 119049846 138891487 178574769 238099692 277782974 357149538 416674461 555565948 714299076 833348922 1250023383 1666697844 2500046766 5000093532