Search a number
-
+
10957483684 = 227274772
BaseRepresentation
bin10100011010001110…
…11110111010100100
31001021122102211211001
422031013132322210
5134420103434214
65011144523044
7535352034400
oct121507367244
931248384731
1010957483684
114713239744
122159780484
13105818c674
1475d3a4100
15441e91c74
hex28d1deea4

10957483684 has 27 divisors (see below), whose sum is σ = 22309289793. Its totient is φ = 4695436368.

The previous prime is 10957483681. The next prime is 10957483699. The reversal of 10957483684 is 48638475901.

The square root of 10957483684 is 104678.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10487808100 + 469675584 = 102410^2 + 21672^2 .

It is not an unprimeable number, because it can be changed into a prime (10957483681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1461754 + ... + 1469230.

Almost surely, 210957483684 is an apocalyptic number.

10957483684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10957483684 is the 104678-th square number.

It is an amenable number.

10957483684 is an abundant number, since it is smaller than the sum of its proper divisors (11351806109).

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

10957483684 is an frugal number, since it uses more digits than its factorization.

10957483684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14972 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 10957483684 in words is "ten billion, nine hundred fifty-seven million, four hundred eighty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 7477 14954 29908 52339 104678 209356 366373 732746 1465492 55905529 111811058 223622116 391338703 782677406 1565354812 2739370921 5478741842 10957483684