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2557532096 = 26779127569
BaseRepresentation
bin1001100001110000…
…1101011111000000
320121020110002110222
42120130031133000
520214212011341
61101440442212
7120243443540
oct23034153700
96536402428
102557532096
1110a2729799
125b4619368
13319b24002
141a3949320
15ee7e244b
hex9870d7c0

2557532096 has 112 divisors (see below), whose sum is σ = 5930188800. Its totient is φ = 1071802368.

The previous prime is 2557532057. The next prime is 2557532099. The reversal of 2557532096 is 6902357552.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557532099) 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, 4494500 + ... + 4495068.

Almost surely, 22557532096 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 2557532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965094400).

2557532096 is an abundant number, since it is smaller than the sum of its proper divisors (3372656704).

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

2557532096 is a wasteful number, since it uses less digits than its factorization.

2557532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 44.

The square root of 2557532096 is about 50572.0485643997. The cubic root of 2557532096 is about 1367.5410267908.

The spelling of 2557532096 in words is "two billion, five hundred fifty-seven million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 127 158 224 254 316 448 508 553 569 632 889 1016 1106 1138 1264 1778 2032 2212 2276 2528 3556 3983 4064 4424 4552 5056 7112 7966 8128 8848 9104 10033 14224 15932 17696 18208 20066 28448 31864 35392 36416 40132 44951 56896 63728 70231 72263 80264 89902 127456 140462 144526 160528 179804 254912 280924 289052 314657 321056 359608 505841 561848 578104 629314 642112 719216 1011682 1123696 1156208 1258628 1438432 2023364 2247392 2312416 2517256 2876864 4046728 4494784 4624832 5034512 5708777 8093456 10069024 11417554 16186912 20138048 22835108 32373824 39961439 45670216 79922878 91340432 159845756 182680864 319691512 365361728 639383024 1278766048 2557532096