Search a number
-
+
24393132683420 = 22514093943219533
BaseRepresentation
bin1011000101111011110000…
…00000100011000010011100
310012100221221100122202020012
411202331320000203002130
511144124113431332140
6123514014521542352
75065226365504634
oct542757000430234
9105327840582205
1024393132683420
117855084521456
12289b6769449b8
13107c354a5c867
146048c36a16c4
152c47c48ce265
hex162f7802309c

24393132683420 has 48 divisors (see below), whose sum is σ = 51275168925120. Its totient is φ = 9747810902016.

The previous prime is 24393132683371. The next prime is 24393132683453. The reversal of 24393132683420 is 2438623139342.

It is a happy number.

It is a super-2 number, since 2×243931326834202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111003974 + ... + 111223506.

It is an arithmetic number, because the mean of its divisors is an integer number (1068232685940).

Almost surely, 224393132683420 is an apocalyptic number.

24393132683420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24393132683420 is an abundant number, since it is smaller than the sum of its proper divisors (26882036241700).

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

24393132683420 is a wasteful number, since it uses less digits than its factorization.

24393132683420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224894 (or 224892 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 24393132683420 in words is "twenty-four trillion, three hundred ninety-three billion, one hundred thirty-two million, six hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1409 2818 3943 5636 7045 7886 14090 15772 19715 28180 39430 78860 219533 439066 878132 1097665 2195330 4390660 5555687 11111374 22222748 27778435 55556870 111113740 309321997 618643994 865618619 1237287988 1546609985 1731237238 3093219970 3462474476 4328093095 6186439940 8656186190 17312372380 1219656634171 2439313268342 4878626536684 6098283170855 12196566341710 24393132683420