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42455166000 = 24353132149281
BaseRepresentation
bin100111100010100001…
…100110110000110000
311001120202212220002120
4213202201212300300
51143422010303000
631300441314240
73032035646112
oct474241466060
9131522786076
1042455166000
111700691a655
12828a195980
134007914b00
1420aa6ab3b2
1511873086a0
hex9e2866c30

42455166000 has 480 divisors, whose sum is σ = 149739969600. Its totient is φ = 10343424000.

The previous prime is 42455165981. The next prime is 42455166059. The reversal of 42455166000 is 66155424.

It is a super-2 number, since 2×424551660002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151085860 + ... + 151086140.

It is an arithmetic number, because the mean of its divisors is an integer number (311958270).

Almost surely, 242455166000 is an apocalyptic number.

42455166000 is a gapful number since it is divisible by the number (40) 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 42455166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74869984800).

42455166000 is an abundant number, since it is smaller than the sum of its proper divisors (107284803600).

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

42455166000 is a wasteful number, since it uses less digits than its factorization.

42455166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 42455166000 in words is "forty-two billion, four hundred fifty-five million, one hundred sixty-six thousand".