Search a number
-
+
10744250496 = 27373997117
BaseRepresentation
bin10100000000110100…
…00100000010000000
31000201210012110212120
422000122010002000
5134001012003441
64534050324240
7530152423320
oct120032040200
930653173776
1010744250496
114613938471
1220ba289680
131022c50c95
1473cd39280
1542d3c1966
hex280684080

10744250496 has 64 divisors (see below), whose sum is σ = 32616482880. Its totient is φ = 3069785088.

The previous prime is 10744250459. The next prime is 10744250501. The reversal of 10744250496 is 69405244701.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1995871 + ... + 2001246.

It is an arithmetic number, because the mean of its divisors is an integer number (509632545).

Almost surely, 210744250496 is an apocalyptic number.

10744250496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10744250496 is an abundant number, since it is smaller than the sum of its proper divisors (21872232384).

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

10744250496 is an equidigital number, since it uses as much as digits as its factorization.

10744250496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997141 (or 3997129 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10744250496 in words is "ten billion, seven hundred forty-four million, two hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 3997117 7994234 11991351 15988468 23982702 27979819 31976936 47965404 55959638 63953872 83939457 95930808 111919276 127907744 167878914 191861616 223838552 255815488 335757828 383723232 447677104 511630976 671515656 767446464 895354208 1343031312 1534892928 1790708416 2686062624 3581416832 5372125248 10744250496