Search a number
-
+
10755145744 = 2471731318047
BaseRepresentation
bin10100000010000111…
…01000000000010000
31000202112201000100021
422001003220000100
5134011304130434
64535120033224
7530344142020
oct120103500020
930675630307
1010755145744
114619aaa202
122101a62814
131025297185
14740573a80
1542e324cb4
hex2810e8010

10755145744 has 80 divisors (see below), whose sum is σ = 25297809408. Its totient is φ = 4324110336.

The previous prime is 10755145729. The next prime is 10755145747. The reversal of 10755145744 is 44754155701.

It is a self number, because there is not a number n which added to its sum of digits gives 10755145744.

It is not an unprimeable number, because it can be changed into a prime (10755145747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586929 + ... + 604975.

Almost surely, 210755145744 is an apocalyptic number.

10755145744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755145744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648904704).

10755145744 is an abundant number, since it is smaller than the sum of its proper divisors (14542663664).

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

10755145744 is a wasteful number, since it uses less digits than its factorization.

10755145744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18392 (or 18386 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 43.

The spelling of 10755145744 in words is "ten billion, seven hundred fifty-five million, one hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 313 476 626 952 1252 1904 2191 2504 4382 5008 5321 8764 10642 17528 18047 21284 35056 36094 37247 42568 72188 74494 85136 126329 144376 148988 252658 288752 297976 306799 505316 595952 613598 1010632 1227196 2021264 2147593 2454392 4295186 4908784 5648711 8590372 11297422 17180744 22594844 34361488 39540977 45189688 79081954 90379376 96028087 158163908 192056174 316327816 384112348 632655632 672196609 768224696 1344393218 1536449392 2688786436 5377572872 10755145744