Search a number
-
+
451047740154 = 231124177319603
BaseRepresentation
bin1101001000001001000…
…10100101001011111010
31121010020021220020220120
412210010202211023322
524342221210141104
6543113010234110
744405245350534
oct6440442451372
91533207806816
10451047740154
11164319766100
12734bab85936
13336c2491b4b
1417b8bb0a854
15baed24ecd9
hex69048a52fa

451047740154 has 96 divisors (see below), whose sum is σ = 1017109783872. Its totient is φ = 133168147200.

The previous prime is 451047740149. The next prime is 451047740159.

451047740154 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (451047740149) and next prime (451047740159).

It is not an unprimeable number, because it can be changed into a prime (451047740159) 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 47 ways as a sum of consecutive naturals, for example, 22999317 + ... + 23018919.

It is an arithmetic number, because the mean of its divisors is an integer number (10594893582).

Almost surely, 2451047740154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451047740154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508554891936).

451047740154 is an abundant number, since it is smaller than the sum of its proper divisors (566062043718).

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

451047740154 is a wasteful number, since it uses less digits than its factorization.

451047740154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20444 (or 20433 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 451047740154 in words is "four hundred fifty-one billion, forty-seven million, seven hundred forty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 773 902 1353 1546 2319 2706 4638 4961 8503 9922 14883 17006 19603 25509 29766 31693 39206 51018 58809 63386 93533 95079 117618 187066 190158 215633 280599 348623 431266 561198 646899 697246 803723 1045869 1293798 1607446 2091738 2371963 2411169 3834853 4743926 4822338 7115889 7669706 8840953 11504559 14231778 15153119 17681906 23009118 26522859 30306238 45459357 53045718 90918714 97250483 166684309 194500966 291751449 333368618 500052927 583502898 621277879 1000105854 1242555758 1833527399 1863833637 3667054798 3727667274 5500582197 6834056669 11001164394 13668113338 20502170007 41004340014 75174623359 150349246718 225523870077 451047740154