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13300124412544 = 27977106353349
BaseRepresentation
bin1100000110001010110100…
…1100001110101010000000
31202002110221112112100221121
43001202231030032222000
53220402123322200134
644141554240202024
72541621324123604
oct301425514165200
952073845470847
1013300124412544
114268607551a82
1215a97a0909314
137562724c74c8
1433da2d8b1504
15180e77c1dab4
hexc18ad30ea80

13300124412544 has 32 divisors (see below), whose sum is σ = 26523461956500. Its totient is φ = 6643255529472.

The previous prime is 13300124412541. The next prime is 13300124412613. The reversal of 13300124412544 is 44521442100331.

It can be written as a sum of positive squares in 2 ways, for example, as 11799225000000 + 1500899412544 = 3435000^2 + 1225112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×133001244125442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13300124412541) 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 3 ways as a sum of consecutive naturals, for example, 53051619 + ... + 53301730.

Almost surely, 213300124412544 is an apocalyptic number.

It is an amenable number.

13300124412544 is a deficient number, since it is larger than the sum of its proper divisors (13223337543956).

13300124412544 is an equidigital number, since it uses as much as digits as its factorization.

13300124412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106354340 (or 106354328 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 13300124412544 its reverse (44521442100331), we get a palindrome (57821566512875).

The spelling of 13300124412544 in words is "thirteen trillion, three hundred billion, one hundred twenty-four million, four hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 977 1954 3908 7816 15632 31264 62528 125056 106353349 212706698 425413396 850826792 1701653584 3403307168 6806614336 13613228672 103907221973 207814443946 415628887892 831257775784 1662515551568 3325031103136 6650062206272 13300124412544