Search a number
-
+
2061662625 = 345311107173
BaseRepresentation
bin111101011100010…
…0111100110100001
312022200101022110000
41322320213212201
513210241201000
6540324330213
7102042562131
oct17270474641
95280338400
102061662625
11968833710
12496543969
1326b187019
14157b4aac1
15c0ee3000
hex7ae279a1

2061662625 has 160 divisors (see below), whose sum is σ = 4256613504. Its totient is φ = 984528000.

The previous prime is 2061662623. The next prime is 2061662627. The reversal of 2061662625 is 5262661602.

2061662625 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 6 + 626 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (2061662623) and next prime (2061662627).

It is not a de Polignac number, because 2061662625 - 21 = 2061662623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2061662625.

It is not an unprimeable number, because it can be changed into a prime (2061662623) 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 159 ways as a sum of consecutive naturals, for example, 11917039 + ... + 11917211.

Almost surely, 22061662625 is an apocalyptic number.

2061662625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2061662625 is an abundant number, since it is smaller than the sum of its proper divisors (2194950879).

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

2061662625 is a wasteful number, since it uses less digits than its factorization.

2061662625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2061662625 is about 45405.5351801958. The cubic root of 2061662625 is about 1272.7385518288.

The spelling of 2061662625 in words is "two billion, sixty-one million, six hundred sixty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 107 125 135 165 173 225 275 297 321 375 405 495 519 535 675 825 865 891 963 1125 1177 1375 1485 1557 1605 1903 2025 2475 2595 2675 2889 3375 3531 4125 4325 4455 4671 4815 5709 5885 7425 7785 8025 8667 9515 10125 10593 12375 12975 13375 14013 14445 17127 17655 18511 21625 22275 23355 24075 28545 29425 31779 37125 38925 40125 43335 47575 51381 52965 55533 64875 70065 72225 85635 88275 92555 95337 111375 116775 120375 142725 147125 154143 158895 166599 194625 203621 216675 237875 256905 264825 277665 350325 361125 428175 441375 462775 476685 499797 583875 610863 713625 770715 794475 832995 1018105 1083375 1284525 1324125 1388325 1499391 1751625 1832589 2140875 2313875 2383425 2498985 3054315 3853575 3972375 4164975 5090525 5497767 6422625 6941625 7496955 9162945 11917125 12494925 15271575 16493301 19267875 20824875 25452625 27488835 37484775 45814725 62474625 76357875 82466505 137444175 187423875 229073625 412332525 687220875 2061662625