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42455051352 = 233272928110337
BaseRepresentation
bin100111100010100001…
…001010110001011000
311001120202200001211100
4213202201022301120
51143421443120402
631300435031400
73032034660630
oct474241126130
9131522601740
1042455051352
11170068514aa
12828a13b560
1340078a487c
1420aa67b6c0
1511872d471c
hex9e284ac58

42455051352 has 192 divisors, whose sum is σ = 136436788800. Its totient is φ = 11668930560.

The previous prime is 42455051339. The next prime is 42455051357. The reversal of 42455051352 is 25315055424.

42455051352 is a `hidden beast` number, since 4 + 2 + 4 + 550 + 51 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42455051357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4101928 + ... + 4112264.

It is an arithmetic number, because the mean of its divisors is an integer number (710608275).

Almost surely, 242455051352 is an apocalyptic number.

42455051352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42455051352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68218394400).

42455051352 is an abundant number, since it is smaller than the sum of its proper divisors (93981737448).

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

42455051352 is a wasteful number, since it uses less digits than its factorization.

42455051352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 42455051352 in words is "forty-two billion, four hundred fifty-five million, fifty-one thousand, three hundred fifty-two".