Search a number
-
+
133755774264 = 23327265388441
BaseRepresentation
bin111110010010001110…
…1110010010100111000
3110210020200002100100100
41330210131302110320
54142412434234024
6141240242235400
712443410215360
oct1744435622470
9423220070310
10133755774264
11517a8713a02
1221b0a655b60
13c7c8025b78
14668c2079a0
15372c9457c9
hex1f24772538

133755774264 has 48 divisors (see below), whose sum is σ = 414005969520. Its totient is φ = 38215935360.

The previous prime is 133755774259. The next prime is 133755774277. The reversal of 133755774264 is 462477557331.

133755774264 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 577 + 4 + 2 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133755774264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132693717 + ... + 132694724.

It is an arithmetic number, because the mean of its divisors is an integer number (8625124365).

Almost surely, 2133755774264 is an apocalyptic number.

133755774264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133755774264 is an abundant number, since it is smaller than the sum of its proper divisors (280250195256).

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

133755774264 is a wasteful number, since it uses less digits than its factorization.

133755774264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265388460 (or 265388453 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The spelling of 133755774264 in words is "one hundred thirty-three billion, seven hundred fifty-five million, seven hundred seventy-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 265388441 530776882 796165323 1061553764 1592330646 1857719087 2123107528 2388495969 3184661292 3715438174 4776991938 5573157261 6369322584 7430876348 9553983876 11146314522 14861752696 16719471783 19107967752 22292629044 33438943566 44585258088 66877887132 133755774264