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14966006972 = 2273181168029
BaseRepresentation
bin11011111000000101…
…10010010010111100
31102122000011221000112
431330002302102330
5221122244210342
610513021245152
71036604650250
oct157402622274
942560157015
1014966006972
11638aa14604
122a981037b8
1315467a6737
14a1d8d6260
155c8d4c682
hex37c0b24bc

14966006972 has 24 divisors (see below), whose sum is σ = 29941601760. Its totient is φ = 6411948480.

The previous prime is 14966006959. The next prime is 14966006983. The reversal of 14966006972 is 27960066941.

14966006972 is digitally balanced in base 2, 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 (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14966006972.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5054 + ... + 173082.

It is an arithmetic number, because the mean of its divisors is an integer number (1247566740).

Almost surely, 214966006972 is an apocalyptic number.

It is an amenable number.

14966006972 is an abundant number, since it is smaller than the sum of its proper divisors (14975594788).

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

14966006972 is a wasteful number, since it uses less digits than its factorization.

14966006972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171221 (or 171219 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 14966006972 in words is "fourteen billion, nine hundred sixty-six million, six thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 3181 6362 12724 22267 44534 89068 168029 336058 672116 1176203 2352406 4704812 534500249 1069000498 2138000996 3741501743 7483003486 14966006972