Search a number
-
+
239903978496 = 21037131931247
BaseRepresentation
bin1101111101101101100…
…1000011010000000000
3211221020022122211020220
43133123121003100000
512412310404302441
6302113234503040
723222021112510
oct3373331032000
9757208584226
10239903978496
11928195a5926
123a5b3434a80
1319813521a80
14b87ba15840
1563917e0466
hex37db643400

239903978496 has 1056 divisors, whose sum is σ = 874211143680. Its totient is φ = 56773509120.

The previous prime is 239903978491. The next prime is 239903978537. The reversal of 239903978496 is 694879309932.

It is a self number, because there is not a number n which added to its sum of digits gives 239903978496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239903978491) 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 95 ways as a sum of consecutive naturals, for example, 5104339945 + ... + 5104339991.

Almost surely, 2239903978496 is an apocalyptic number.

239903978496 is a gapful number since it is divisible by the number (26) 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 239903978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437105571840).

239903978496 is an abundant number, since it is smaller than the sum of its proper divisors (634307165184).

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

239903978496 is a wasteful number, since it uses less digits than its factorization.

239903978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 69.

The spelling of 239903978496 in words is "two hundred thirty-nine billion, nine hundred three million, nine hundred seventy-eight thousand, four hundred ninety-six".