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103807198976 = 281347663661
BaseRepresentation
bin110000010101101100…
…1000010011100000000
3100220221111120002102012
41200223121002130000
53200044120331401
6115404404312052
710333303426655
oct1405331023400
9326844502365
10103807198976
114002a504038
12181509a2628
139a344c77c0
14504a947c2c
152a785c88bb
hex182b642700

103807198976 has 72 divisors (see below), whose sum is σ = 227896221504. Its totient is φ = 46891560960.

The previous prime is 103807198969. The next prime is 103807199011. The reversal of 103807198976 is 679891708301.

103807198976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175415 + ... + 488246.

Almost surely, 2103807198976 is an apocalyptic number.

103807198976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103807198976 is an abundant number, since it is smaller than the sum of its proper divisors (124089022528).

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

103807198976 is an equidigital number, since it uses as much as digits as its factorization.

103807198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663737 (or 663723 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 59.

The spelling of 103807198976 in words is "one hundred three billion, eight hundred seven million, one hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 611 752 832 1222 1504 1664 2444 3008 3328 4888 6016 9776 12032 19552 39104 78208 156416 663661 1327322 2654644 5309288 8627593 10618576 17255186 21237152 31192067 34510372 42474304 62384134 69020744 84948608 124768268 138041488 169897216 249536536 276082976 405496871 499073072 552165952 810993742 998146144 1104331904 1621987484 1996292288 2208663808 3243974968 3992584576 6487949936 7985169152 12975899872 25951799744 51903599488 103807198976