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17914064715001 = 72132465112
BaseRepresentation
bin1000001001010111100010…
…11101101011110011111001
32100102120022222012212022101
410010223301131223303321
54322001001031340001
6102033335133423401
73526151136446200
oct404536135536371
970376288185271
1017914064715001
115787348570764
122013a4803ab61
139cc39b089c00
1445d08c66c237
15210ebc7d6a01
hex104af176bcf9

17914064715001 has 27 divisors (see below), whose sum is σ = 22565587091823. Its totient is φ = 14173460748720.

The previous prime is 17914064714993. The next prime is 17914064715017. The reversal of 17914064715001 is 10051746041971.

The square root of 17914064715001 is 4232501.

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., 2650009573225 + 15264055141776 = 1627885^2 + 3906924^2 .

It is not a de Polignac number, because 17914064715001 - 23 = 17914064714993 is a prime.

It is a super-2 number, since 2×179140647150012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17914064715601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 385134336 + ... + 385180846.

Almost surely, 217914064715001 is an apocalyptic number.

17914064715001 is the 4232501-st square number.

17914064715001 is the 2116251-st centered octagonal number.

It is an amenable number.

17914064715001 is a deficient number, since it is larger than the sum of its proper divisors (4651522376822).

17914064715001 is an frugal number, since it uses more digits than its factorization.

17914064715001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93062 (or 46531 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 17914064715001 in words is "seventeen trillion, nine hundred fourteen billion, sixty-four million, seven hundred fifteen thousand, one".

Divisors: 1 7 13 49 91 169 637 1183 8281 46511 325577 604643 2279039 4232501 7860359 29627507 55022513 385157591 2163273121 15142911847 28122550573 106000382929 196857854011 365593157449 1378004978077 2559152102143 17914064715001