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42953358934710 = 23557173747229373
BaseRepresentation
bin10011100010000110110111…
…01100111000001010110110
312122002022010102210200100000
421301003123230320022312
521112221434341402320
6231204300051532130
712022164163556460
oct1161033354701266
9178068112720300
1042953358934710
11127604653660a4
124998794bba046
131ac763b203083
14a86d4cbdd130
154e74ae910c90
hex2710dbb382b6

42953358934710 has 1536 divisors, whose sum is σ = 148033720074240. Its totient is φ = 8737443053568.

The previous prime is 42953358934687. The next prime is 42953358934763. The reversal of 42953358934710 is 1743985335924.

42953358934710 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 3 + 3 + 589 + 3 + 47 + 1 + 0 = 666.

42953358934710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×429533589347103 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 115156458084 + ... + 115156458456.

It is an arithmetic number, because the mean of its divisors is an integer number (96376119840).

Almost surely, 242953358934710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42953358934710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74016860037120).

42953358934710 is an abundant number, since it is smaller than the sum of its proper divisors (105080361139530).

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

42953358934710 is a wasteful number, since it uses less digits than its factorization.

42953358934710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 42953358934710 in words is "forty-two trillion, nine hundred fifty-three billion, three hundred fifty-eight million, nine hundred thirty-four thousand, seven hundred ten".