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249024425496 = 2337111274912161
BaseRepresentation
bin1110011111101100000…
…0110010111000011000
3212210202221101112111020
43213323000302320120
513040000223103441
6310222241402440
723664025456140
oct3477300627030
9783687345436
10249024425496
1196679883730
1240319939420
131a637c24582
14c0a5021920
15672735ee66
hex39fb032e18

249024425496 has 256 divisors, whose sum is σ = 784247685120. Its totient is φ = 64012032000.

The previous prime is 249024425389. The next prime is 249024425497. The reversal of 249024425496 is 694524420942.

249024425496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2490244254962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249024425497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115234656 + ... + 115236816.

It is an arithmetic number, because the mean of its divisors is an integer number (3063467520).

Almost surely, 2249024425496 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 249024425496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392123842560).

249024425496 is an abundant number, since it is smaller than the sum of its proper divisors (535223259624).

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

249024425496 is a wasteful number, since it uses less digits than its factorization.

249024425496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 249024425496 in words is "two hundred forty-nine billion, twenty-four million, four hundred twenty-five thousand, four hundred ninety-six".