Search a number
-
+
203263625252324 = 22713171947252114591
BaseRepresentation
bin101110001101111000000000…
…001011011100110111100100
3222122200210221112022201112202
4232031320000023130313210
5203120232401031033244
62000150004221034032
760546212056251230
oct5615700013346744
9878623845281482
10203263625252324
115984768a423a8a
121a969a289b5918
1389558a694a240
14382a024b355c0
1518775478a904e
hexb8de002dcde4

203263625252324 has 384 divisors, whose sum is σ = 498562608660480. Its totient is φ = 70140465561600.

The previous prime is 203263625252263. The next prime is 203263625252329. The reversal of 203263625252324 is 423252526362302.

It is a super-2 number, since 2×2032636252523242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (203263625252329) 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 127 ways as a sum of consecutive naturals, for example, 13930746269 + ... + 13930760859.

It is an arithmetic number, because the mean of its divisors is an integer number (1298340126720).

Almost surely, 2203263625252324 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 203263625252324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249281304330240).

203263625252324 is an abundant number, since it is smaller than the sum of its proper divisors (295298983408156).

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

203263625252324 is a wasteful number, since it uses less digits than its factorization.

203263625252324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17219 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 47.

The spelling of 203263625252324 in words is "two hundred three trillion, two hundred sixty-three billion, six hundred twenty-five million, two hundred fifty-two thousand, three hundred twenty-four".