Search a number
-
+
10273747344 = 243730576629
BaseRepresentation
bin10011001000101110…
…01111000110010000
3222111222212102212220
421210113033012100
5132020034403334
64415242021040
7512410261110
oct114427170620
928458772786
1010273747344
1143a2298493
121ba87a7780
13c79625b53
146d6661040
15401e33449
hex2645cf190

10273747344 has 40 divisors (see below), whose sum is σ = 30332016960. Its totient is φ = 2935356288.

The previous prime is 10273747331. The next prime is 10273747361. The reversal of 10273747344 is 44374737201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10273747296 and 10273747305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15287979 + ... + 15288650.

It is an arithmetic number, because the mean of its divisors is an integer number (758300424).

Almost surely, 210273747344 is an apocalyptic number.

10273747344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10273747344 is an abundant number, since it is smaller than the sum of its proper divisors (20058269616).

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

10273747344 is a wasteful number, since it uses less digits than its factorization.

10273747344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30576647 (or 30576641 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 10273747344 in words is "ten billion, two hundred seventy-three million, seven hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 30576629 61153258 91729887 122306516 183459774 214036403 244613032 366919548 428072806 489226064 642109209 733839096 856145612 1284218418 1467678192 1712291224 2568436836 3424582448 5136873672 10273747344