Search a number
-
+
10050037668 = 22321125378883
BaseRepresentation
bin10010101110000011…
…10110011110100100
3221221101220210220100
421113001312132210
5131040302201133
64341131104100
7504022624236
oct112701663644
927841823810
1010050037668
114297a91060
121b458a2030
13c42189a68
146b4a6a256
153dc493e13
hex2570767a4

10050037668 has 36 divisors (see below), whose sum is σ = 27713741328. Its totient is φ = 3045465840.

The previous prime is 10050037663. The next prime is 10050037681. The reversal of 10050037668 is 86673005001.

10050037668 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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (10050037663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12689046 + ... + 12689837.

It is an arithmetic number, because the mean of its divisors is an integer number (769826148).

Almost surely, 210050037668 is an apocalyptic number.

10050037668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10050037668 is an abundant number, since it is smaller than the sum of its proper divisors (17663703660).

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

10050037668 is a wasteful number, since it uses less digits than its factorization.

10050037668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25378904 (or 25378899 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10050037668 in words is "ten billion, fifty million, thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25378883 50757766 76136649 101515532 152273298 228409947 279167713 304546596 456819894 558335426 837503139 913639788 1116670852 1675006278 2512509417 3350012556 5025018834 10050037668