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1009096593444 = 22321674232
BaseRepresentation
bin11101010111100101101…
…10000001000000100100
310120110122200021020210100
432223302312001000210
5113013112211442234
62051323402024100
7132622232343432
oct16536266010044
93513580236710
101009096593444
11359a567a1215
121436a04a8030
1374207a68c04
1436baa603d52
151b3b0173399
hexeaf2d81024

1009096593444 has 27 divisors (see below), whose sum is σ = 2550787180123. Its totient is φ = 336363522072.

The previous prime is 1009096593383. The next prime is 1009096593457. The reversal of 1009096593444 is 4443956909001.

It is a happy number.

The square root of 1009096593444 is 1004538.

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

1009096593444 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 9 + 6 + 593 + 4 + 44 = 666.

It is a super-2 number, since 2×10090965934442 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5943517 + ... + 6110939.

Almost surely, 21009096593444 is an apocalyptic number.

1009096593444 is the 1004538-th square number.

It is an amenable number.

1009096593444 is an abundant number, since it is smaller than the sum of its proper divisors (1541690586679).

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

1009096593444 is an frugal number, since it uses more digits than its factorization.

1009096593444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334856 (or 167428 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1009096593444 in words is "one trillion, nine billion, ninety-six million, five hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167423 334846 502269 669692 1004538 1506807 2009076 3013614 6027228 28030460929 56060921858 84091382787 112121843716 168182765574 252274148361 336365531148 504548296722 1009096593444