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34542122432 = 261274249769
BaseRepresentation
bin100000001010110111…
…101111010111000000
310022011022002121222212
4200022313233113000
51031220240404212
623511325321252
72331662124206
oct401267572700
9108138077885
1034542122432
1113716144924
126840106228
1333463c94cc
14195979b076
15d72787e22
hex80adef5c0

34542122432 has 28 divisors (see below), whose sum is σ = 69084261120. Its totient is φ = 17135064576.

The previous prime is 34542122423. The next prime is 34542122443. The reversal of 34542122432 is 23422124543.

34542122432 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2116757 + ... + 2133012.

It is an arithmetic number, because the mean of its divisors is an integer number (2467295040).

Almost surely, 234542122432 is an apocalyptic number.

34542122432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34542122432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

34542122432 is a wasteful number, since it uses less digits than its factorization.

34542122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249908 (or 4249898 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

Adding to 34542122432 its reverse (23422124543), we get a palindrome (57964246975).

The spelling of 34542122432 in words is "thirty-four billion, five hundred forty-two million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 4249769 8499538 16999076 33998152 67996304 135992608 271985216 539720663 1079441326 2158882652 4317765304 8635530608 17271061216 34542122432