Search a number
-
+
3117785088 = 21331119607
BaseRepresentation
bin1011100111010101…
…1010000000000000
322001021122220002210
42321311122000000
522341123110323
61233212542120
7140155510305
oct27165320000
98037586083
103117785088
11135a9aa0a0
12730181940
133a8c14262
142181070ac
15133aad293
hexb9d5a000

3117785088 has 224 divisors, whose sum is σ = 9562429440. Its totient is φ = 893583360.

The previous prime is 3117785063. The next prime is 3117785089. The reversal of 3117785088 is 8805877113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117785089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5136081 + ... + 5136687.

Almost surely, 23117785088 is an apocalyptic number.

3117785088 is a gapful number since it is divisible by the number (38) 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 3117785088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781214720).

3117785088 is an abundant number, since it is smaller than the sum of its proper divisors (6444644352).

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

3117785088 is a wasteful number, since it uses less digits than its factorization.

3117785088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 48.

The square root of 3117785088 is about 55837.1300122060. The cubic root of 3117785088 is about 1460.8828537882.

The spelling of 3117785088 in words is "three billion, one hundred seventeen million, seven hundred eighty-five thousand, eighty-eight".