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7057240056 = 2332179116329
BaseRepresentation
bin1101001001010010…
…01110111111111000
3200012211102221101100
412210221032333320
5103423123140211
63124141051400
7336612356616
oct64451167770
920184387340
107057240056
112aa169a9a9
12144b556b60
138861278b9
144ad3ba6b6
152b4874156
hex1a4a4eff8

7057240056 has 96 divisors (see below), whose sum is σ = 20263089600. Its totient is φ = 2211256320.

The previous prime is 7057240051. The next prime is 7057240063. The reversal of 7057240056 is 6500427507.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7057240056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7057240051) 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 23 ways as a sum of consecutive naturals, for example, 1111900 + ... + 1118228.

It is an arithmetic number, because the mean of its divisors is an integer number (211073850).

Almost surely, 27057240056 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 7057240056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131544800).

7057240056 is an abundant number, since it is smaller than the sum of its proper divisors (13205849544).

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

7057240056 is a wasteful number, since it uses less digits than its factorization.

7057240056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7057240056 is about 84007.3809614370. The cubic root of 7057240056 is about 1918.1311437550.

The spelling of 7057240056 in words is "seven billion, fifty-seven million, two hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 911 1224 1822 2733 3644 5466 6329 7288 8199 10932 12658 15487 16398 18987 21864 25316 30974 32796 37974 46461 50632 56961 61948 65592 75948 92922 107593 113922 123896 139383 151896 185844 215186 227844 278766 322779 371688 430372 455688 557532 645558 860744 968337 1115064 1291116 1936674 2582232 3873348 5765719 7746696 11531438 17297157 23062876 34594314 46125752 51891471 69188628 98017223 103782942 138377256 196034446 207565884 294051669 392068892 415131768 588103338 784137784 882155007 1176206676 1764310014 2352413352 3528620028 7057240056