Search a number
-
+
10304460544 = 2879759281
BaseRepresentation
bin10011001100011000…
…11001011100000000
3222121010122211110211
421212030121130000
5132100420214134
64422300203504
7513232320010
oct114614313400
928533584424
1010304460544
1144086657a4
121bb6b39594
13c82aba641
146da777c40
1540499d764
hex266319700

10304460544 has 72 divisors (see below), whose sum is σ = 23749791968. Its totient is φ = 4370595840.

The previous prime is 10304460533. The next prime is 10304460553. The reversal of 10304460544 is 44506440301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144184 + ... + 203464.

Almost surely, 210304460544 is an apocalyptic number.

10304460544 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 10304460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874895984).

10304460544 is an abundant number, since it is smaller than the sum of its proper divisors (13445331424).

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

10304460544 is an frugal number, since it uses more digits than its factorization.

10304460544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59401 (or 59387 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 10304460544 in words is "ten billion, three hundred four million, four hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 256 388 448 679 776 896 1358 1552 1792 2716 3104 5432 6208 10864 12416 21728 24832 43456 59281 86912 118562 173824 237124 414967 474248 829934 948496 1659868 1896992 3319736 3793984 5750257 6639472 7587968 11500514 13278944 15175936 23001028 26557888 40251799 46002056 53115776 80503598 92004112 106231552 161007196 184008224 322014392 368016448 644028784 736032896 1288057568 1472065792 2576115136 5152230272 10304460544