Search a number
-
+
1009771248336 = 24327775945491
BaseRepresentation
bin11101011000110110000…
…11100111101011010000
310120112101200202021022120
432230123003213223100
5113021002414421321
62051514342134240
7132645033664344
oct16543303475320
93515350667276
101009771248336
1135a2725aa444
1214384a421380
13742b4772ca6
1436c32061624
151b3ee4daec6
hexeb1b0e7ad0

1009771248336 has 40 divisors (see below), whose sum is σ = 2617993000224. Its totient is φ = 335375283840.

The previous prime is 1009771248329. The next prime is 1009771248337. The reversal of 1009771248336 is 6338421779001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009771248337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37959450 + ... + 37986041.

Almost surely, 21009771248336 is an apocalyptic number.

1009771248336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1009771248336 is an abundant number, since it is smaller than the sum of its proper divisors (1608221751888).

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

1009771248336 is a wasteful number, since it uses less digits than its factorization.

1009771248336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75945779 (or 75945773 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 1009771248336 in words is "one trillion, nine billion, seven hundred seventy-one million, two hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 277 554 831 1108 1662 2216 3324 4432 6648 13296 75945491 151890982 227836473 303781964 455672946 607563928 911345892 1215127856 1822691784 3645383568 21036901007 42073802014 63110703021 84147604028 126221406042 168295208056 252442812084 336590416112 504885624168 1009771248336