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42854842368 = 216371323
BaseRepresentation
bin100111111010010110…
…010000000000000000
311002121121221120000000
4213322112100000000
51200231314423433
631404240000000
73044661102252
oct477226200000
9132547846000
1042854842368
11171a14943a8
128380000000
13406c671cc0
1421077c9cd2
1511ac456113
hex9fa590000

42854842368 has 544 divisors, whose sum is σ = 144450727680. Its totient is φ = 12612796416.

The previous prime is 42854842291. The next prime is 42854842507. The reversal of 42854842368 is 86324845824.

42854842368 is a `hidden beast` number, since 4 + 2 + 85 + 484 + 23 + 68 = 666.

It is a super-2 number, since 2×428548423682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863254005 + ... + 1863254027.

Almost surely, 242854842368 is an apocalyptic number.

42854842368 is a gapful number since it is divisible by the number (48) 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 42854842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72225363840).

42854842368 is an abundant number, since it is smaller than the sum of its proper divisors (101595885312).

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

42854842368 is an frugal number, since it uses more digits than its factorization.

42854842368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 42854842368 in words is "forty-two billion, eight hundred fifty-four million, eight hundred forty-two thousand, three hundred sixty-eight".