Search a number
-
+
2694077848 = 2371173181331
BaseRepresentation
bin1010000010010100…
…0101110110011000
320221202101100001001
42200211011312120
521004140442343
61123155234344
7123522166240
oct24045056630
96852340031
102694077848
111162811620
126322a89b4
1333c1c2007
141b7b30b20
1510b7b544d
hexa0945d98

2694077848 has 128 divisors (see below), whose sum is σ = 6438781440. Its totient is φ = 1026432000.

The previous prime is 2694077831. The next prime is 2694077857. The reversal of 2694077848 is 8487704962.

It is a happy number.

It is a super-2 number, since 2×26940778482 = 14516110902168622208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8139043 + ... + 8139373.

It is an arithmetic number, because the mean of its divisors is an integer number (50302980).

Almost surely, 22694077848 is an apocalyptic number.

2694077848 is a gapful number since it is divisible by the number (28) 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 2694077848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219390720).

2694077848 is an abundant number, since it is smaller than the sum of its proper divisors (3744703592).

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

2694077848 is a wasteful number, since it uses less digits than its factorization.

2694077848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The square root of 2694077848 is about 51904.5070104707. The cubic root of 2694077848 is about 1391.4578235446.

The spelling of 2694077848 in words is "two billion, six hundred ninety-four million, seventy-seven thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 181 292 308 331 362 511 584 616 662 724 803 1022 1267 1324 1448 1606 1991 2044 2317 2534 2648 3212 3641 3982 4088 4634 5068 5621 6424 7282 7964 9268 10136 11242 13213 13937 14564 15928 18536 22484 24163 25487 26426 27874 29128 44968 48326 50974 52852 55748 59911 92491 96652 101948 105704 111496 119822 145343 169141 184982 193304 203896 239644 265793 290686 338282 369964 419377 479288 531586 581372 659021 676564 739928 838754 1017401 1063172 1162744 1318042 1353128 1677508 1860551 2034802 2126344 2636084 3355016 3721102 4069604 4373503 4613147 5272168 7442204 8139208 8747006 9226294 14884408 17494012 18452588 30614521 34988024 36905176 48108533 61229042 96217066 122458084 192434132 244916168 336759731 384868264 673519462 1347038924 2694077848