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13916015625 = 351219
BaseRepresentation
bin11001111010111010…
…11000110000001001
31022220211102211200010
430331131120300021
5212000000000000
610220512302133
71001565116061
oct147535306011
938824384603
1013916015625
1159a1256566
122844541949
13140a0b5095
149602943a1
15566a93d50
hex33d758c09

13916015625 has 52 divisors (see below), whose sum is σ = 24414062480. Its totient is φ = 7031250000.

The previous prime is 13916015563. The next prime is 13916015683. The reversal of 13916015625 is 52651061931.

It is a happy number.

13916015625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13916015625 - 211 = 13916013577 is a prime.

It is an unprimeable number.

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 51 ways as a sum of consecutive naturals, for example, 732421866 + ... + 732421884.

Almost surely, 213916015625 is an apocalyptic number.

13916015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13916015625 is a deficient number, since it is larger than the sum of its proper divisors (10498046855).

13916015625 is an frugal number, since it uses more digits than its factorization.

13916015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 13916015625 in words is "thirteen billion, nine hundred sixteen million, fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 475 625 1425 1875 2375 3125 7125 9375 11875 15625 35625 46875 59375 78125 178125 234375 296875 390625 890625 1171875 1484375 1953125 4453125 5859375 7421875 9765625 22265625 29296875 37109375 48828125 111328125 146484375 185546875 244140625 556640625 732421875 927734375 2783203125 4638671875 13916015625