Search a number
-
+
10046008032 = 253104645917
BaseRepresentation
bin10010101101100100…
…11110101011100000
3221221010100002021120
421112302132223200
5131033234224112
64340504452240
7503643442104
oct112662365340
927833302246
1010046008032
114295789585
121b4447a080
13c413a8868
146b42db904
153dbe49e8c
hex256c9eae0

10046008032 has 24 divisors (see below), whose sum is σ = 26370771336. Its totient is φ = 3348669312.

The previous prime is 10046007967. The next prime is 10046008043. The reversal of 10046008032 is 23080064001.

It is a happy number.

10046008032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10046007993 and 10046008011.

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 3 ways as a sum of consecutive naturals, for example, 52322863 + ... + 52323054.

It is an arithmetic number, because the mean of its divisors is an integer number (1098782139).

Almost surely, 210046008032 is an apocalyptic number.

10046008032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10046008032 is an abundant number, since it is smaller than the sum of its proper divisors (16324763304).

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

10046008032 is a wasteful number, since it uses less digits than its factorization.

10046008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104645930 (or 104645922 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10046008032 in words is "ten billion, forty-six million, eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104645917 209291834 313937751 418583668 627875502 837167336 1255751004 1674334672 2511502008 3348669344 5023004016 10046008032