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24768148945 = 553132170753
BaseRepresentation
bin10111000100010010…
…111111010111010001
32100221010122022221211
4113010102333113101
5401211121231240
615213415220121
71534530535531
oct270422772721
970833568854
1024768148945
11a55aa79991
124972977641
1324494a9847
1412ad6734c1
1599e675bea
hex5c44bf5d1

24768148945 has 16 divisors (see below), whose sum is σ = 30305919312. Its totient is φ = 19425669120.

The previous prime is 24768148921. The next prime is 24768148949. The reversal of 24768148945 is 54984186742.

It can be written as a sum of positive squares in 8 ways, for example, as 551498256 + 24216650689 = 23484^2 + 155617^2 .

It is not a de Polignac number, because 24768148945 - 229 = 24231278033 is a prime.

It is a super-2 number, since 2×247681489452 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 24768148945.

It is not an unprimeable number, because it can be changed into a prime (24768148949) by changing a digit.

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, 314689 + ... + 385441.

It is an arithmetic number, because the mean of its divisors is an integer number (1894119957).

Almost surely, 224768148945 is an apocalyptic number.

It is an amenable number.

24768148945 is a deficient number, since it is larger than the sum of its proper divisors (5537770367).

24768148945 is a wasteful number, since it uses less digits than its factorization.

24768148945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72132.

The product of its digits is 15482880, while the sum is 58.

The spelling of 24768148945 in words is "twenty-four billion, seven hundred sixty-eight million, one hundred forty-eight thousand, nine hundred forty-five".

Divisors: 1 5 53 265 1321 6605 70013 70753 350065 353765 3749909 18749545 93464713 467323565 4953629789 24768148945