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42453418968 = 233219316116411
BaseRepresentation
bin100111100010011010…
…111100001111011000
311001120122121010121200
4213202122330033120
51143421033401333
631300340034200
73032015051532
oct474232741730
9131518533550
1042453418968
1117005937024
128289692960
13400745286c
1420aa374852
1511870b0c13
hex9e26bc3d8

42453418968 has 192 divisors, whose sum is σ = 126989491200. Its totient is φ = 12760416000.

The previous prime is 42453418933. The next prime is 42453418993. The reversal of 42453418968 is 86981435424.

42453418968 is a `hidden beast` number, since 4 + 2 + 4 + 534 + 18 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2578683 + ... + 2595093.

It is an arithmetic number, because the mean of its divisors is an integer number (661403600).

Almost surely, 242453418968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42453418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63494745600).

42453418968 is an abundant number, since it is smaller than the sum of its proper divisors (84536072232).

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

42453418968 is a wasteful number, since it uses less digits than its factorization.

42453418968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16534 (or 16527 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 42453418968 in words is "forty-two billion, four hundred fifty-three million, four hundred eighteen thousand, nine hundred sixty-eight".