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2557936397552 = 247319318896007
BaseRepresentation
bin100101001110010000111…
…000111110110011110000
3100001112110222121111120112
4211032100320332303300
5313402123204210202
65235033314200452
7352543022430434
oct45162070766360
910045428544515
102557936397552
118a68a6458278
123538b3883128
1315729b756393
148bb3a4729c4
15468100dab52
hex25390e3ecf0

2557936397552 has 80 divisors (see below), whose sum is σ = 5053437184320. Its totient is φ = 1254038962176.

The previous prime is 2557936397501. The next prime is 2557936397557.

2557936397552 is nontrivially palindromic in base 10.

2557936397552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25579363975522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557936397557) 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, 425822933 + ... + 425828939.

It is an arithmetic number, because the mean of its divisors is an integer number (63167964804).

Almost surely, 22557936397552 is an apocalyptic number.

It is an amenable number.

2557936397552 is a deficient number, since it is larger than the sum of its proper divisors (2495500786768).

2557936397552 is a wasteful number, since it uses less digits than its factorization.

2557936397552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8164 counting only the distinct ones).

The product of its digits is 535815000, while the sum is 68.

The spelling of 2557936397552 in words is "two trillion, five hundred fifty-seven billion, nine hundred thirty-six million, three hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 73 146 193 292 386 584 772 1168 1544 1889 3088 3778 6007 7556 12014 14089 15112 24028 28178 30224 48056 56356 96112 112712 137897 225424 275794 364577 438511 551588 729154 877022 1103176 1159351 1458308 1754044 2206352 2318702 2916616 3508088 4637404 5833232 7016176 9274808 11347223 18549616 22694446 26614121 45388892 53228242 84632623 90777784 106456484 169265246 181555568 212912968 338530492 425825936 677060984 828347279 1354121968 1656694558 2190014039 3313389116 4380028078 6626778232 8760056156 13253556464 17520112312 35040224624 159871024847 319742049694 639484099388 1278968198776 2557936397552