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42936663168 = 273373291249
BaseRepresentation
bin100111111111001110…
…010111110010000000
311002211022220111001000
4213333032113302000
51200413241210133
631420321412000
73050003421000
oct477716276200
9132738814030
1042936663168
11172336995a3
1283a349a000
1340835bc089
142114608000
1511b4719413
hex9ff397c80

42936663168 has 512 divisors, whose sum is σ = 153000000000. Its totient is φ = 11835113472.

The previous prime is 42936663157. The next prime is 42936663191. The reversal of 42936663168 is 86136663924.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34376208 + ... + 34377456.

It is an arithmetic number, because the mean of its divisors is an integer number (298828125).

Almost surely, 242936663168 is an apocalyptic number.

42936663168 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 42936663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76500000000).

42936663168 is an abundant number, since it is smaller than the sum of its proper divisors (110063336832).

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

42936663168 is a wasteful number, since it uses less digits than its factorization.

42936663168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1290 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 42936663168 in words is "forty-two billion, nine hundred thirty-six million, six hundred sixty-three thousand, one hundred sixty-eight".