Search a number
-
+
52505413000 = 2353318212063
BaseRepresentation
bin110000111001100100…
…010000010110001000
312000112012012100010221
4300321210100112020
51330012341204000
640042021115424
73536063434555
oct607144202610
9160465170127
1052505413000
11202a3a33a07
12a213b58b74
134c49b45c21
14278138da2c
1515747de61a
hexc39910588

52505413000 has 128 divisors (see below), whose sum is σ = 127042007040. Its totient is φ = 20290080000.

The previous prime is 52505412959. The next prime is 52505413001. The reversal of 52505413000 is 31450525.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52505413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25449969 + ... + 25452031.

It is an arithmetic number, because the mean of its divisors is an integer number (992515680).

Almost surely, 252505413000 is an apocalyptic number.

52505413000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52505413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63521003520).

52505413000 is an abundant number, since it is smaller than the sum of its proper divisors (74536594040).

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

52505413000 is a wasteful number, since it uses less digits than its factorization.

52505413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 52505413000 its reverse (31450525), we get a palindrome (52536863525).

The spelling of 52505413000 in words is "fifty-two billion, five hundred five million, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 821 1000 1240 1550 1642 2063 3100 3284 3875 4105 4126 6200 6568 7750 8210 8252 10315 15500 16420 16504 20525 20630 25451 31000 32840 41050 41260 50902 51575 63953 82100 82520 101804 102625 103150 127255 127906 164200 203608 205250 206300 254510 255812 257875 319765 410500 412600 509020 511624 515750 636275 639530 821000 1018040 1031500 1272550 1279060 1598825 1693723 2063000 2545100 2558120 3181375 3197650 3387446 5090200 6362750 6395300 6774892 7994125 8468615 12725500 12790600 13549784 15988250 16937230 25451000 31976500 33874460 42343075 52505413 63953000 67748920 84686150 105010826 169372300 210021652 211715375 262527065 338744600 420043304 423430750 525054130 846861500 1050108260 1312635325 1693723000 2100216520 2625270650 5250541300 6563176625 10501082600 13126353250 26252706500 52505413000