Search a number
-
+
158891012686224 = 2433713291271097419
BaseRepresentation
bin100100001000001010110010…
…010111101000000110010000
3202211120211110212102102202000
4210020022302113220012100
5131311232243221424344
61321533305030154000
745316332262510320
oct4410126227500620
9684524425372660
10158891012686224
114669a333421445
12159a21867b2900
136a87486c8b310
142b3451a60d280
1513581be89da69
hex9082b25e8190

158891012686224 has 640 divisors, whose sum is σ = 585253208064000. Its totient is φ = 40141689219072.

The previous prime is 158891012686213. The next prime is 158891012686267. The reversal of 158891012686224 is 422686210198851.

158891012686224 is a `hidden beast` number, since 1 + 588 + 9 + 1 + 0 + 1 + 26 + 8 + 6 + 2 + 24 = 666.

It is a super-2 number, since 2×1588910126862242 (a number of 29 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 144237387 + ... + 145334805.

It is an arithmetic number, because the mean of its divisors is an integer number (914458137600).

Almost surely, 2158891012686224 is an apocalyptic number.

158891012686224 is a gapful number since it is divisible by the number (14) 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 158891012686224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626604032000).

158891012686224 is an abundant number, since it is smaller than the sum of its proper divisors (426362195377776).

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

158891012686224 is a wasteful number, since it uses less digits than its factorization.

158891012686224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097612 (or 1097600 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 158891012686224 in words is "one hundred fifty-eight trillion, eight hundred ninety-one billion, twelve million, six hundred eighty-six thousand, two hundred twenty-four".