Search a number
-
+
13825067508 = 22327192887441
BaseRepresentation
bin11001110000000100…
…11100100111110100
31022200111022012022100
430320002130213310
5211303204130013
610203503102100
7666412064160
oct147002344764
938614265270
1013825067508
11595498792a
122819ba1930
1313c42c0725
1495217bca0
1555dacb473
hex33809c9f4

13825067508 has 72 divisors (see below), whose sum is σ = 42041155520. Its totient is φ = 3742122240.

The previous prime is 13825067483. The next prime is 13825067521. The reversal of 13825067508 is 80576052831.

13825067508 is a `hidden beast` number, since 1 + 3 + 82 + 5 + 0 + 67 + 508 = 666.

It is a super-2 number, since 2×138250675082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438933 + ... + 1448508.

Almost surely, 213825067508 is an apocalyptic number.

13825067508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13825067508 is an abundant number, since it is smaller than the sum of its proper divisors (28216088012).

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

13825067508 is a wasteful number, since it uses less digits than its factorization.

13825067508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887477 (or 2887472 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 13825067508 in words is "thirteen billion, eight hundred twenty-five million, sixty-seven thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 2887441 5774882 8662323 11549764 17324646 20212087 25986969 34649292 40424174 51973938 54861379 60636261 80848348 103947876 109722758 121272522 164584137 181908783 219445516 242545044 329168274 363817566 384029653 493752411 658336548 727635132 768059306 987504822 1152088959 1536118612 1975009644 2304177918 3456266877 4608355836 6912533754 13825067508