Search a number
-
+
10280205344 = 253477571223
BaseRepresentation
bin10011001001011111…
…10111110000100000
3222112110000112121002
421210233313300200
5132023213032334
64420032251132
7512516206103
oct114457676040
928473015532
1010280205344
1143a59a9482
121baa9a0aa8
13c7aa77456
146d746273a
154027abb7e
hex264bf7c20

10280205344 has 48 divisors (see below), whose sum is σ = 20340911808. Its totient is φ = 5114333952.

The previous prime is 10280205329. The next prime is 10280205347. The reversal of 10280205344 is 44350208201.

It is a happy number.

10280205344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10280205347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8405117 + ... + 8406339.

It is an arithmetic number, because the mean of its divisors is an integer number (423768996).

Almost surely, 210280205344 is an apocalyptic number.

It is an amenable number.

10280205344 is a deficient number, since it is larger than the sum of its proper divisors (10060706464).

10280205344 is a wasteful number, since it uses less digits than its factorization.

10280205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 10280205344 in words is "ten billion, two hundred eighty million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 347 694 757 1223 1388 1514 2446 2776 3028 4892 5552 6056 9784 11104 12112 19568 24224 39136 262679 424381 525358 848762 925811 1050716 1697524 1851622 2101432 3395048 3703244 4202864 6790096 7406488 8405728 13580192 14812976 29625952 321256417 642512834 1285025668 2570051336 5140102672 10280205344