Search a number
-
+
10379524964 = 2217899717681
BaseRepresentation
bin10011010101010101…
…01111101101100100
3222210100220111111112
421222222233231210
5132224124244324
64433541124152
7515133335504
oct115252575544
928710814445
1010379524964
114446a75806
1220180b9658
13c95510363
14706717a04
1540b379c0e
hex26aaafb64

10379524964 has 48 divisors (see below), whose sum is σ = 19650360240. Its totient is φ = 4779540480.

The previous prime is 10379524963. The next prime is 10379525017. The reversal of 10379524964 is 46942597301.

It can be written as a sum of positive squares in 8 ways, for example, as 269222464 + 10110302500 = 16408^2 + 100550^2 .

It is not an unprimeable number, because it can be changed into a prime (10379524963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 578204 + ... + 595884.

It is an arithmetic number, because the mean of its divisors is an integer number (409382505).

Almost surely, 210379524964 is an apocalyptic number.

It is an amenable number.

10379524964 is a deficient number, since it is larger than the sum of its proper divisors (9270835276).

10379524964 is a wasteful number, since it uses less digits than its factorization.

10379524964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17888 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 10379524964 in words is "ten billion, three hundred seventy-nine million, five hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 17 34 68 89 97 178 194 356 388 1513 1649 3026 3298 6052 6596 8633 17266 17681 34532 35362 70724 146761 293522 300577 587044 601154 1202308 1573609 1715057 3147218 3430114 6294436 6860228 26751353 29155969 53502706 58311938 107005412 116623876 152640073 305280146 610560292 2594881241 5189762482 10379524964