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16720927201 = 1121727492957
BaseRepresentation
bin11111001001010010…
…10001100111100001
31121011022101010000001
433210221101213201
5233221024132301
611403111300001
71131234351616
oct174451214741
947138333001
1016720927201
117100589100
1232a797a601
131766241a84
14b489d650d
1567ce4dc01
hex3e4a519e1

16720927201 has 24 divisors (see below), whose sum is σ = 19473993000. Its totient is φ = 14296634880.

The previous prime is 16720927193. The next prime is 16720927211. The reversal of 16720927201 is 10272902761.

16720927201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 394221025 + 16326706176 = 19855^2 + 127776^2 .

It is not a de Polignac number, because 16720927201 - 23 = 16720927193 is a prime.

It is a super-2 number, since 2×167209272012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16720927211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5653215 + ... + 5656171.

It is an arithmetic number, because the mean of its divisors is an integer number (811416375).

Almost surely, 216720927201 is an apocalyptic number.

16720927201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16720927201 is a deficient number, since it is larger than the sum of its proper divisors (2753065799).

16720927201 is a wasteful number, since it uses less digits than its factorization.

16720927201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 16720927201 in words is "sixteen billion, seven hundred twenty million, nine hundred twenty-seven thousand, two hundred one".

Divisors: 1 11 17 121 187 2057 2749 2957 30239 32527 46733 50269 332629 357797 514063 552959 5654693 6082549 8128793 89416723 138189481 983583953 1520084291 16720927201