Search a number
-
+
249163858944 = 21034711133001
BaseRepresentation
bin1110100000001101010…
…0101100010000000000
3212211010122202111020000
43220003110230100000
513040241421441234
6310244142120000
724000340566510
oct3500324542000
9784118674200
10249163858944
1196740559090
1240358580000
131a65aa93a80
14c0b9759840
156734703899
hex3a0352c400

249163858944 has 880 divisors, whose sum is σ = 999339766656. Its totient is φ = 59719680000.

The previous prime is 249163858919. The next prime is 249163858949. The reversal of 249163858944 is 449858361942.

249163858944 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 6 + 3 + 8 + 589 + 44 = 666.

249163858944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (249163858949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83025444 + ... + 83028444.

Almost surely, 2249163858944 is an apocalyptic number.

249163858944 is a gapful number since it is divisible by the number (24) 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 249163858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499669883328).

249163858944 is an abundant number, since it is smaller than the sum of its proper divisors (750175907712).

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

249163858944 is a wasteful number, since it uses less digits than its factorization.

249163858944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3037 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 249163858944 in words is "two hundred forty-nine billion, one hundred sixty-three million, eight hundred fifty-eight thousand, nine hundred forty-four".