Search a number
-
+
10245782439732 = 2237121973600473
BaseRepresentation
bin1001010100011000100000…
…1110010000011100110100
31100021111011012020211220210
42111012020032100130310
52320331330301032412
633442503015425420
72105143016535060
oct225061016203464
940244135224823
1010245782439732
1132a0237097874
12119584b985270
13594233500908
14275c81756aa0
1512b7b285e83c
hex95188390734

10245782439732 has 24 divisors (see below), whose sum is σ = 27322086506176. Its totient is φ = 2927366411328.

The previous prime is 10245782439731. The next prime is 10245782439829. The reversal of 10245782439732 is 23793428754201.

It is a happy number.

It is a super-2 number, since 2×102457824397322 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245782439731) 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, 60986800153 + ... + 60986800320.

Almost surely, 210245782439732 is an apocalyptic number.

10245782439732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10245782439732 is an abundant number, since it is smaller than the sum of its proper divisors (17076304066444).

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

10245782439732 is a wasteful number, since it uses less digits than its factorization.

10245782439732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121973600487 (or 121973600485 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 10245782439732 in words is "ten trillion, two hundred forty-five billion, seven hundred eighty-two million, four hundred thirty-nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 121973600473 243947200946 365920801419 487894401892 731841602838 853815203311 1463683205676 1707630406622 2561445609933 3415260813244 5122891219866 10245782439732