Search a number
-
+
4595981342976 = 28325927572
BaseRepresentation
bin100001011100001010111…
…0101011101100100000000
3121021101000211201211100100
41002320111311131210000
51100300032210433401
613435210434322400
7653022462560652
oct102702565354400
917241024654310
104595981342976
111512165718711
12622894a29400
1327452600147a
1411c6379b46d2
157e843119b86
hex42e15d5d900

4595981342976 has 243 divisors, whose sum is σ = 13497583449441. Its totient is φ = 1504038316032.

The previous prime is 4595981342933. The next prime is 4595981342983. The reversal of 4595981342976 is 6792431895954.

The square root of 4595981342976 is 2143824.

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

4595981342976 is a `hidden beast` number, since 4 + 5 + 9 + 59 + 81 + 3 + 429 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2839359801600 + 1756621541376 = 1685040^2 + 1325376^2 .

It is a super-2 number, since 2×45959813429762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6071309190 + ... + 6071309946.

Almost surely, 24595981342976 is an apocalyptic number.

4595981342976 is the 2143824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4595981342976

4595981342976 is an abundant number, since it is smaller than the sum of its proper divisors (8901602106465).

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

4595981342976 is an frugal number, since it uses more digits than its factorization.

4595981342976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 821 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 4595981342976 in words is "four trillion, five hundred ninety-five billion, nine hundred eighty-one million, three hundred forty-two thousand, nine hundred seventy-six".