Search a number
-
+
10744127604 = 2233756325243
BaseRepresentation
bin10100000000110011…
…00110000001110100
31000201202222020022000
422000121212001310
5134000444040404
64534043535300
7530151402120
oct120031460164
930652866260
1010744127604
114613864101
1220ba22a530
131022c0a072
1473cd06580
1542d39a339
hex280666074

10744127604 has 96 divisors (see below), whose sum is σ = 31892259840. Its totient is φ = 3064176864.

The previous prime is 10744127567. The next prime is 10744127621. The reversal of 10744127604 is 40672144701.

It is a happy number.

10744127604 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 41 + 2 + 7 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413007 + ... + 438249.

It is an arithmetic number, because the mean of its divisors is an integer number (332211040).

Almost surely, 210744127604 is an apocalyptic number.

10744127604 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 10744127604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946129920).

10744127604 is an abundant number, since it is smaller than the sum of its proper divisors (21148132236).

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

10744127604 is a wasteful number, since it uses less digits than its factorization.

10744127604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25826 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10744127604 in words is "ten billion, seven hundred forty-four million, one hundred twenty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 563 756 1126 1689 2252 3378 3941 5067 6756 7882 10134 11823 15201 15764 20268 23646 25243 30402 35469 47292 50486 60804 70938 75729 100972 106407 141876 151458 176701 212814 227187 302916 353402 425628 454374 530103 681561 706804 908748 1060206 1363122 1590309 2120412 2726244 3180618 4770927 6361236 9541854 14211809 19083708 28423618 42635427 56847236 85270854 99482663 127906281 170541708 198965326 255812562 298447989 383718843 397930652 511625124 596895978 767437686 895343967 1193791956 1534875372 1790687934 2686031901 3581375868 5372063802 10744127604