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128463364821 = 3112379564691
BaseRepresentation
bin111011110100100000…
…0110110001011010101
3110021120211111002102210
41313221000312023111
54101043110133241
6135003143424033
712165304404261
oct1675100661325
9407524432383
10128463364821
114a532247400
1220a92155019
13c16372644c
14630938b0a1
15351cece316
hex1de90362d5

128463364821 has 24 divisors (see below), whose sum is σ = 193359813472. Its totient is φ = 75752344800.

The previous prime is 128463364817. The next prime is 128463364867.

128463364821 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 128463364821 - 22 = 128463364817 is a prime.

It is a super-2 number, since 2×1284633648212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128463364811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4768915 + ... + 4795776.

Almost surely, 2128463364821 is an apocalyptic number.

128463364821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128463364821 is a deficient number, since it is larger than the sum of its proper divisors (64896448651).

128463364821 is a wasteful number, since it uses less digits than its factorization.

128463364821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564753 (or 9564742 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 128463364821 in words is "one hundred twenty-eight billion, four hundred sixty-three million, three hundred sixty-four thousand, eight hundred twenty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 9564691 28694073 105211601 315634803 353893567 1061680701 1157327611 3471982833 3892829237 11678487711 42821121607 128463364821