Search a number
-
+
42448951661796 = 223210858812
BaseRepresentation
bin10011010011011011010101…
…01011110101010011100100
312120022002011102112022020100
421221231222223311103210
521030440423111134141
6230140440145304100
711640556410521001
oct1151555253652344
9176262142468210
1042448951661796
1112586554631299
124916a84035030
131a8bbc3c76b04
14a6a77c52a8a8
154d92dbe090b6
hex269b6aaf54e4

42448951661796 has 27 divisors (see below), whose sum is σ = 107301615515913. Its totient is φ = 14149637523360.

The previous prime is 42448951661791. The next prime is 42448951661813. The reversal of 42448951661796 is 69716615984424.

The square root of 42448951661796 is 6515286.

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

42448951661796 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 8 + 9 + 516 + 6 + 17 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 617032244196 + 41831919417600 = 785514^2 + 6467760^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42448951661791) 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, 38548776 + ... + 39634656.

Almost surely, 242448951661796 is an apocalyptic number.

42448951661796 is the 6515286-th square number.

It is an amenable number.

42448951661796 is an abundant number, since it is smaller than the sum of its proper divisors (64852663854117).

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

42448951661796 is an frugal number, since it uses more digits than its factorization.

42448951661796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171772 (or 1085886 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 42448951661796 in words is "forty-two trillion, four hundred forty-eight billion, nine hundred fifty-one million, six hundred sixty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 1085881 2171762 3257643 4343524 6515286 9772929 13030572 19545858 39091716 1179137546161 2358275092322 3537412638483 4716550184644 7074825276966 10612237915449 14149650553932 21224475830898 42448951661796