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10387379664 = 243272134581
BaseRepresentation
bin10011010110010001…
…01101010111010000
3222210220200120010100
421223020231113100
5132233132122124
64434421332400
7515260161504
oct115310552720
928726616110
1010387379664
1144504500a2
12201a867100
13c970305cc
147077a0304
1540bdcc1c9
hex26b22d5d0

10387379664 has 30 divisors (see below), whose sum is σ = 29070236546. Its totient is φ = 3462459840.

The previous prime is 10387379663. The next prime is 10387379689. The reversal of 10387379664 is 46697378301.

It can be written as a sum of positive squares in only one way, i.e., 5255090064 + 5132289600 = 72492^2 + 71640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10387379664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387379663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36067147 + ... + 36067434.

Almost surely, 210387379664 is an apocalyptic number.

It is an amenable number.

10387379664 is an abundant number, since it is smaller than the sum of its proper divisors (18682856882).

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

10387379664 is a wasteful number, since it uses less digits than its factorization.

10387379664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72134595 (or 72134586 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 1038737 and 9664, that added together give a palindrome (1048401).

The spelling of 10387379664 in words is "ten billion, three hundred eighty-seven million, three hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 72134581 144269162 216403743 288538324 432807486 577076648 649211229 865614972 1154153296 1298422458 1731229944 2596844916 3462459888 5193689832 10387379664