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42914754168 = 2331113171938713
BaseRepresentation
bin100111111101111010…
…110010111001111000
311002202210200101112120
4213331322302321320
51200342134113133
631414220041240
73046316251236
oct477572627170
9132683611476
1042914754168
1117222294a90
128398093220
13407bbbaa80
142111743956
1511b283cab3
hex9fdeb2e78

42914754168 has 256 divisors, whose sum is σ = 140485363200. Its totient is φ = 10703093760.

The previous prime is 42914754167. The next prime is 42914754191. The reversal of 42914754168 is 86145741924.

It is a super-2 number, since 2×429147541682 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 42914754168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42914754163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089180 + ... + 1127892.

It is an arithmetic number, because the mean of its divisors is an integer number (548770950).

Almost surely, 242914754168 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 42914754168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70242681600).

42914754168 is an abundant number, since it is smaller than the sum of its proper divisors (97570609032).

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

42914754168 is a wasteful number, since it uses less digits than its factorization.

42914754168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38782 (or 38778 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 42914754168 in words is "forty-two billion, nine hundred fourteen million, seven hundred fifty-four thousand, one hundred sixty-eight".