Search a number
-
+
2553066432 = 26337211067
BaseRepresentation
bin1001100000101100…
…1011001111000000
320120221001012202000
42120023023033000
520212041111212
61101201024000
7120160464240
oct23013131700
96527035660
102553066432
1110a0159664
125b3025000
13318c1c4c7
141a3105b20
15ee20e1dc
hex982cb3c0

2553066432 has 112 divisors (see below), whose sum is σ = 8577803520. Its totient is φ = 729444096.

The previous prime is 2553066427. The next prime is 2553066469. The reversal of 2553066432 is 2346603552.

2553066432 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 6 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93438 + ... + 117629.

Almost surely, 22553066432 is an apocalyptic number.

It is an amenable number.

2553066432 is an abundant number, since it is smaller than the sum of its proper divisors (6024737088).

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

2553066432 is a wasteful number, since it uses less digits than its factorization.

2553066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211095 (or 211079 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2553066432 is about 50527.8777705931. The cubic root of 2553066432 is about 1366.7446162427.

Adding to 2553066432 its reverse (2346603552), we get a palindrome (4899669984).

The spelling of 2553066432 in words is "two billion, five hundred fifty-three million, sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 211067 422134 633201 844268 1266402 1477469 1688536 1899603 2532804 2954938 3377072 3799206 4432407 5065608 5698809 5909876 6754144 7598412 8864814 10131216 11397618 11819752 13297221 13508288 15196824 17729628 20262432 22795236 23639504 26594442 30393648 35459256 39891663 40524864 45590472 47279008 53188884 60787296 70918512 79783326 91180944 94558016 106377768 121574592 141837024 159566652 182361888 212755536 283674048 319133304 364723776 425511072 638266608 851022144 1276533216 2553066432