Search a number
-
+
10632223104 = 273142719403
BaseRepresentation
bin10011110011011101…
…01101100110000000
31000102222101220011220
421321232231212000
5133233322114404
64515005235040
7524322255666
oct117156554600
930388356156
1010632223104
114566681648
122088862a80
131005988b99
1472c0d6c36
154236434d9
hex279bad980

10632223104 has 64 divisors (see below), whose sum is σ = 28263090240. Its totient is φ = 3541408256.

The previous prime is 10632223103. The next prime is 10632223123. The reversal of 10632223104 is 40132223601.

10632223104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×106322231042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632223103) 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, 538267 + ... + 557669.

It is an arithmetic number, because the mean of its divisors is an integer number (441610785).

Almost surely, 210632223104 is an apocalyptic number.

It is an amenable number.

10632223104 is an abundant number, since it is smaller than the sum of its proper divisors (17630867136).

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

10632223104 is a wasteful number, since it uses less digits than its factorization.

10632223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20847 (or 20835 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10632223104 its reverse (40132223601), we get a palindrome (50764446705).

The spelling of 10632223104 in words is "ten billion, six hundred thirty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1427 2854 4281 5708 8562 11416 17124 19403 22832 34248 38806 45664 58209 68496 77612 91328 116418 136992 155224 182656 232836 273984 310448 465672 547968 620896 931344 1241792 1862688 2483584 3725376 7450752 27688081 55376162 83064243 110752324 166128486 221504648 332256972 443009296 664513944 886018592 1329027888 1772037184 2658055776 3544074368 5316111552 10632223104