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2512344704 = 27294571481
BaseRepresentation
bin1001010110111111…
…0101011010000000
320111002102100000212
42111233311122000
520121130012304
61053144133252
7116154402062
oct22557653200
96432370025
102512344704
11107a175841
125a1467228
133106622cc
1419b945732
15ea86866e
hex95bf5680

2512344704 has 64 divisors (see below), whose sum is σ = 5192483400. Its totient is φ = 1209384960.

The previous prime is 2512344683. The next prime is 2512344767. The reversal of 2512344704 is 4074432152.

2512344704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2401000000 + 111344704 = 49000^2 + 10552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695644 + ... + 1697124.

Almost surely, 22512344704 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 2512344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596241700).

2512344704 is an abundant number, since it is smaller than the sum of its proper divisors (2680138696).

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

2512344704 is a wasteful number, since it uses less digits than its factorization.

2512344704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 2512344704 is about 50123.2950233721. The cubic root of 2512344704 is about 1359.4390535539.

Adding to 2512344704 its reverse (4074432152), we get a palindrome (6586776856).

The spelling of 2512344704 in words is "two billion, five hundred twelve million, three hundred forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 457 464 914 928 1481 1828 1856 2962 3656 3712 5924 7312 11848 13253 14624 23696 26506 29248 42949 47392 53012 58496 85898 94784 106024 171796 189568 212048 343592 424096 676817 687184 848192 1353634 1374368 1696384 2707268 2748736 5414536 5497472 10829072 19627693 21658144 39255386 43316288 78510772 86632576 157021544 314043088 628086176 1256172352 2512344704