Search a number
-
+
250387825968 = 2435722357143
BaseRepresentation
bin1110100100110001000…
…1110000010100110000
3212221021221212110100000
43221030101300110300
513100243240412333
6311005424030000
724042562255500
oct3511421602460
9787257773300
10250387825968
1197209444685
124063a462300
131a7c452a207
14c194127a00
1567a6dc5713
hex3a4c470530

250387825968 has 360 divisors, whose sum is σ = 882104041728. Its totient is φ = 68427773568.

The previous prime is 250387825967. The next prime is 250387825979. The reversal of 250387825968 is 869528783052.

250387825968 is a `hidden beast` number, since 2 + 5 + 0 + 38 + 7 + 8 + 2 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250387825967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4353205 + ... + 4410347.

Almost surely, 2250387825968 is an apocalyptic number.

250387825968 is a gapful number since it is divisible by the number (28) 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 250387825968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441052020864).

250387825968 is an abundant number, since it is smaller than the sum of its proper divisors (631716215760).

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

250387825968 is a wasteful number, since it uses less digits than its factorization.

250387825968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57203 (or 57178 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 250387825968 in words is "two hundred fifty billion, three hundred eighty-seven million, eight hundred twenty-five thousand, nine hundred sixty-eight".