Search a number
-
+
2756373312 = 263711375039
BaseRepresentation
bin1010010001001010…
…1110101101000000
321010002121021100110
42210102232231000
521121112421222
61133302351320
7125206533540
oct24422565500
97102537313
102756373312
1111949a0080
1264b12b540
1334c093a34
141c2109320
15111ebd30c
hexa44aeb40

2756373312 has 224 divisors, whose sum is σ = 9340047360. Its totient is φ = 696453120.

The previous prime is 2756373307. The next prime is 2756373313. The reversal of 2756373312 is 2133736572.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756373313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544489 + ... + 549527.

It is an arithmetic number, because the mean of its divisors is an integer number (41696640).

Almost surely, 22756373312 is an apocalyptic number.

2756373312 is a gapful number since it is divisible by the number (22) 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 2756373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670023680).

2756373312 is an abundant number, since it is smaller than the sum of its proper divisors (6583674048).

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

2756373312 is a wasteful number, since it uses less digits than its factorization.

2756373312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5099 counting only the distinct ones).

The product of its digits is 158760, while the sum is 39.

The square root of 2756373312 is about 52501.1743868649. The cubic root of 2756373312 is about 1402.1011497342.

The spelling of 2756373312 in words is "two billion, seven hundred fifty-six million, three hundred seventy-three thousand, three hundred twelve".