Search a number
-
+
1024152145533 = 3211139197937607
BaseRepresentation
bin11101110011101000011…
…10011000111001111101
310121220111220221112121200
432321310032120321331
5113234430422124113
62102253342450113
7133664305413336
oct16716416307175
93556456845550
101024152145533
11365382206350
121465a2593939
1375766c6550a
14377d7d6928d
151b991cac873
hexee74398e7d

1024152145533 has 48 divisors (see below), whose sum is σ = 1626290265600. Its totient is φ = 615905051040.

The previous prime is 1024152145531. The next prime is 1024152145559. The reversal of 1024152145533 is 3355412514201.

1024152145533 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 52 + 14 + 553 + 3 = 666.

It is not a de Polignac number, because 1024152145533 - 21 = 1024152145531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024152145531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27214216 + ... + 27251822.

It is an arithmetic number, because the mean of its divisors is an integer number (33881047200).

Almost surely, 21024152145533 is an apocalyptic number.

It is an amenable number.

1024152145533 is a deficient number, since it is larger than the sum of its proper divisors (602138120067).

1024152145533 is a wasteful number, since it uses less digits than its factorization.

1024152145533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39742 (or 39739 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1024152145533 its reverse (3355412514201), we get a palindrome (4379564659734).

It can be divided in two parts, 1024152 and 145533, that added together give a triangular number (1169685 = T1529).

The spelling of 1024152145533 in words is "one trillion, twenty-four billion, one hundred fifty-two million, one hundred forty-five thousand, five hundred thirty-three".

Divisors: 1 3 9 11 33 99 139 417 1251 1529 1979 4587 5937 13761 17811 21769 37607 65307 112821 195921 275081 338463 413677 825243 1241031 2475729 3025891 3723093 5227373 9077673 15682119 27233019 47046357 57501103 74424253 172503309 223272759 517509927 669818277 818666783 2456000349 7368001047 10344971167 31034913501 93104740503 113794682837 341384048511 1024152145533