Search a number
-
+
10623734132 = 22112367156683
BaseRepresentation
bin10011110010011100…
…10101000101110100
31000102101102121111112
421321032111011310
5133224133443012
64514103254152
7524160151544
oct117116250564
930371377445
1010623734132
114561903770
122085a4a358
131003ca601b
1472ad27324
15422a18122
hex279395174

10623734132 has 48 divisors (see below), whose sum is σ = 21479496192. Its totient is φ = 4550045280.

The previous prime is 10623734083. The next prime is 10623734171. The reversal of 10623734132 is 23143732601.

10623734132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×106237341323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10538 + ... + 146145.

It is an arithmetic number, because the mean of its divisors is an integer number (447489504).

Almost surely, 210623734132 is an apocalyptic number.

It is an amenable number.

10623734132 is an abundant number, since it is smaller than the sum of its proper divisors (10855762060).

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

10623734132 is a wasteful number, since it uses less digits than its factorization.

10623734132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156788 (or 156786 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 10623734132 in words is "ten billion, six hundred twenty-three million, seven hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 23 44 46 67 92 134 253 268 506 737 1012 1474 1541 2948 3082 6164 16951 33902 67804 156683 313366 626732 1723513 3447026 3603709 6894052 7207418 10497761 14414836 20995522 39640799 41991044 79281598 115475371 158563196 230950742 241448503 461901484 482897006 965794012 2655933533 5311867066 10623734132