Search a number
-
+
56109291876 = 2232112372972
BaseRepresentation
bin110100010000010111…
…111101100101100100
312100211100112100120100
4310100113331211210
51404402434320001
641435400504100
74024304053221
oct642027754544
9170740470510
1056109291876
1121883261500
12aa5aa7b030
1353a2683731
142a03c6c948
1516d5dba586
hexd105fd964

56109291876 has 243 divisors, whose sum is σ = 161893951947. Its totient is φ = 16372730880.

The previous prime is 56109291869. The next prime is 56109291883. The reversal of 56109291876 is 67819290165.

The square root of 56109291876 is 236874.

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

56109291876 is a `hidden beast` number, since 5 + 610 + 9 + 2 + 9 + 18 + 7 + 6 = 666.

56109291876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56109291869) and next prime (56109291883).

It can be written as a sum of positive squares in 4 ways, for example, as 8672451876 + 47436840000 = 93126^2 + 217800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 578446260 + ... + 578446356.

Almost surely, 256109291876 is an apocalyptic number.

56109291876 is the 236874-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56109291876

56109291876 is an abundant number, since it is smaller than the sum of its proper divisors (105784660071).

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

56109291876 is a wasteful number, since it uses less digits than its factorization.

56109291876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 56109291876 in words is "fifty-six billion, one hundred nine million, two hundred ninety-one thousand, eight hundred seventy-six".