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2657897396 = 227411139181
BaseRepresentation
bin1001111001101100…
…0100101110110100
320212020022011210022
42132123010232310
520420410204041
61115423544312
7122602520000
oct23633045664
96766264708
102657897396
11114434a720
1262215b098
13334864b6b
141b2dd3700
1510851a24b
hex9e6c4bb4

2657897396 has 120 divisors (see below), whose sum is σ = 5995036320. Its totient is φ = 1022414400.

The previous prime is 2657897393. The next prime is 2657897413. The reversal of 2657897396 is 6937987562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657897393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14684426 + ... + 14684606.

It is an arithmetic number, because the mean of its divisors is an integer number (49958636).

Almost surely, 22657897396 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 2657897396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997518160).

2657897396 is an abundant number, since it is smaller than the sum of its proper divisors (3337138924).

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

2657897396 is a wasteful number, since it uses less digits than its factorization.

2657897396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 62.

The square root of 2657897396 is about 51554.7999317231. The cubic root of 2657897396 is about 1385.2008112432.

The spelling of 2657897396 in words is "two billion, six hundred fifty-seven million, eight hundred ninety-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 139 154 181 196 278 308 343 362 539 556 686 724 973 1078 1267 1372 1529 1946 1991 2156 2401 2534 3058 3773 3892 3982 4802 5068 6116 6811 7546 7964 8869 9604 10703 13622 13937 15092 17738 21406 25159 26411 27244 27874 35476 42812 47677 50318 52822 55748 62083 74921 95354 97559 100636 105644 124166 149842 176113 190708 195118 248332 276749 299684 333739 352226 390236 434581 524447 553498 667478 682913 704452 869162 1048894 1106996 1232791 1334956 1365826 1738324 1937243 2097788 2465582 2731652 3671129 3874486 4780391 4931164 7342258 7748972 8629537 9560782 13560701 14684516 17259074 19121564 27121402 34518148 54242804 60406759 94924907 120813518 189849814 241627036 379699628 664474349 1328948698 2657897396