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42923115091584 = 2733713210498633
BaseRepresentation
bin10011100001001110100010…
…00001110001011010000000
312121222102001200200021002000
421300213101001301122000
521111223014430412314
6231142335025224000
712020043543260640
oct1160472101613200
9177872050607060
1042923115091584
1112749655514122
124992954492000
131ac482b472b00
14a856c023c520
154e67de6bc209
hex2709d1071680

42923115091584 has 384 divisors, whose sum is σ = 156774001795200. Its totient is φ = 11320380923904.

The previous prime is 42923115091523. The next prime is 42923115091613. The reversal of 42923115091584 is 48519051132924.

42923115091584 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 3 + 1 + 1 + 50 + 9 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×429231150915842 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42923115091584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160869 + ... + 9337764.

It is an arithmetic number, because the mean of its divisors is an integer number (408265629675).

Almost surely, 242923115091584 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 42923115091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78387000897600).

42923115091584 is an abundant number, since it is smaller than the sum of its proper divisors (113850886703616).

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

42923115091584 is a wasteful number, since it uses less digits than its factorization.

42923115091584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498689 (or 10498658 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 42923115091584 in words is "forty-two trillion, nine hundred twenty-three billion, one hundred fifteen million, ninety-one thousand, five hundred eighty-four".