Search a number
-
+
1065998430784 = 267210321792
BaseRepresentation
bin11111000001100100111…
…01010011001001000000
310202220112021010002100101
433200302131103021000
5114431131044241114
62133413553532144
7140005302105100
oct17406235231100
93686467102311
101065998430784
113810a6361871
12152720874054
13796a5692451
143984781b200
151cae08e1d74
hexf832753240

1065998430784 has 189 divisors, whose sum is σ = 2498783884947. Its totient is φ = 449893479168.

The previous prime is 1065998430781. The next prime is 1065998430829. The reversal of 1065998430784 is 4870348995601.

The square root of 1065998430784 is 1032472.

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

It is a super-2 number, since 2×10659984307842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1065998430781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5955298407 + ... + 5955298585.

Almost surely, 21065998430784 is an apocalyptic number.

1065998430784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1065998430784 is the 1032472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065998430784

1065998430784 is an abundant number, since it is smaller than the sum of its proper divisors (1432785454163).

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

1065998430784 is an frugal number, since it uses more digits than its factorization.

1065998430784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

Multiplying 1065998430784 by its sum of digits (64), we get a square (68223899570176 = 82597762).

1065998430784 divided by its sum of digits (64) gives a square (16656225481 = 1290592).

The spelling of 1065998430784 in words is "one trillion, sixty-five billion, nine hundred ninety-eight million, four hundred thirty thousand, seven hundred eighty-four".