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14737717201 = 73216632
BaseRepresentation
bin11011011100110111…
…11011011111010001
31102001002121121022211
431232123323133101
5220140323422301
610434224232121
71031133346354
oct155633733721
942032547284
1014737717201
11628306a079
122a3376b641
13150b3c5a2c
149db46c29b
155b3ca6051
hex36e6fb7d1

14737717201 has 9 divisors (see below), whose sum is σ = 14951359899. Its totient is φ = 14527089936.

The previous prime is 14737717157. The next prime is 14737717207. The reversal of 14737717201 is 10271773741.

The square root of 14737717201 is 121399.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8365846225 + 6371870976 = 91465^2 + 79824^2 .

It is not a de Polignac number, because 14737717201 - 213 = 14737709009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14737717207) 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 8 ways as a sum of consecutive naturals, for example, 8861296 + ... + 8862958.

It is an arithmetic number, because the mean of its divisors is an integer number (1661262211).

Almost surely, 214737717201 is an apocalyptic number.

14737717201 is the 121399-th square number.

14737717201 is the 60700-th centered octagonal number.

It is an amenable number.

14737717201 is a deficient number, since it is larger than the sum of its proper divisors (213642698).

14737717201 is an frugal number, since it uses more digits than its factorization.

14737717201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 14737717201 in words is "fourteen billion, seven hundred thirty-seven million, seven hundred seventeen thousand, two hundred one".

Divisors: 1 73 1663 5329 121399 2765569 8862127 201886537 14737717201