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48104000036677 = 13173132327217201
BaseRepresentation
bin10101111000000000101011…
…10101011001111101000101
320022022200211110201200012001
422330000111311121331011
522301113443002133202
6250150401134025301
713063253651560054
oct1274002565317505
9208280743650161
1048104000036677
1114366878a52142
12548aa64348231
1320ac259603660
14bc436313c39b
1558646714cd87
hex2bc015d59f45

48104000036677 has 32 divisors (see below), whose sum is σ = 56623039248384. Its totient is φ = 40442153472000.

The previous prime is 48104000036611. The next prime is 48104000036681. The reversal of 48104000036677 is 77663000040184.

48104000036677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 48104000036677 - 27 = 48104000036549 is a prime.

It is a super-3 number, since 3×481040000366773 (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48104000036777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221363677 + ... + 221580877.

It is an arithmetic number, because the mean of its divisors is an integer number (1769469976512).

Almost surely, 248104000036677 is an apocalyptic number.

It is an amenable number.

48104000036677 is a deficient number, since it is larger than the sum of its proper divisors (8519039211707).

48104000036677 is a wasteful number, since it uses less digits than its factorization.

48104000036677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249589.

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 48104000036677 in words is "forty-eight trillion, one hundred four billion, thirty-six thousand, six hundred seventy-seven".

Divisors: 1 13 17 31 221 403 527 6851 32327 217201 420251 549559 1002137 2823613 3692417 6733231 7144267 13027781 17036329 48001421 87532003 114464927 221472277 1488044051 7021456727 91278937451 119364764359 217665158537 1551741936667 2829647060981 3700307695129 48104000036677