Search a number
-
+
2557471680 = 26325888011
BaseRepresentation
bin1001100001101111…
…1110101111000000
320121020100000121100
42120123332233000
520214203043210
61101435254400
7120243102441
oct23033765700
96536300540
102557471680
1110a2698365
125b45aa400
13319b0266a
141a39312c8
15ee7ce5c0
hex986febc0

2557471680 has 84 divisors (see below), whose sum is σ = 8796646872. Its totient is φ = 681991680.

The previous prime is 2557471667. The next prime is 2557471681. The reversal of 2557471680 is 861747552.

2557471680 is a `hidden beast` number, since 2 + 5 + 574 + 71 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×25574716802 = 13081322788004044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557471681) 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 11 ways as a sum of consecutive naturals, for example, 441126 + ... + 446885.

Almost surely, 22557471680 is an apocalyptic number.

2557471680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557471680 is an abundant number, since it is smaller than the sum of its proper divisors (6239175192).

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

2557471680 is a wasteful number, since it uses less digits than its factorization.

2557471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888034 (or 888021 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2557471680 is about 50571.4512348617. The cubic root of 2557471680 is about 1367.5302583356.

The spelling of 2557471680 in words is "two billion, five hundred fifty-seven million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 888011 1776022 2664033 3552044 4440055 5328066 7104088 7992099 8880110 10656132 13320165 14208176 15984198 17760220 21312264 26640330 28416352 31968396 35520440 39960495 42624528 53280660 56832704 63936792 71040880 79920990 85249056 106561320 127873584 142081760 159841980 170498112 213122640 255747168 284163520 319683960 426245280 511494336 639367920 852490560 1278735840 2557471680