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14905071828 = 2232414029773
BaseRepresentation
bin11011110000110100…
…10101100011010100
31102110202112002201100
431320122111203110
5221011144244303
610503003230100
71035235006623
oct157032254324
942422462640
1014905071828
116359585089
122a7b818330
131536c8cc3a
14a157936ba
155c38128a3
hex3786958d4

14905071828 has 18 divisors (see below), whose sum is σ = 37676709434. Its totient is φ = 4968357264.

The previous prime is 14905071781. The next prime is 14905071829. The reversal of 14905071828 is 82817050941.

14905071828 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 only one way, i.e., 14803102224 + 101969604 = 121668^2 + 10098^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×149050718282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14905071829) 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 5 ways as a sum of consecutive naturals, for example, 207014851 + ... + 207014922.

Almost surely, 214905071828 is an apocalyptic number.

14905071828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14905071828 is an abundant number, since it is smaller than the sum of its proper divisors (22771637606).

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

14905071828 is a wasteful number, since it uses less digits than its factorization.

14905071828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414029783 (or 414029778 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 14905071828 in words is "fourteen billion, nine hundred five million, seventy-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 414029773 828059546 1242089319 1656119092 2484178638 3726267957 4968357276 7452535914 14905071828