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8132858370 = 232571331103311
BaseRepresentation
bin1111001001100000…
…11001001000000010
3202222210102000022200
413210300121020002
5113124002431440
63423003214030
7405353104230
oct74460311002
922883360280
108132858370
1134a387195a
1216ab817316
139c7c1c940
145721ad950
15328ee0c30
hex1e4c19202

8132858370 has 384 divisors, whose sum is σ = 27212709888. Its totient is φ = 1639180800.

The previous prime is 8132858369. The next prime is 8132858413. The reversal of 8132858370 is 738582318.

It is a super-2 number, since 2×81328583702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26150515 + ... + 26150825.

It is an arithmetic number, because the mean of its divisors is an integer number (70866432).

Almost surely, 28132858370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132858370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606354944).

8132858370 is an abundant number, since it is smaller than the sum of its proper divisors (19079851518).

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

8132858370 is a wasteful number, since it uses less digits than its factorization.

8132858370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8132858370 is about 90182.3617455209. The cubic root of 8132858370 is about 2011.0108007233.

The spelling of 8132858370 in words is "eight billion, one hundred thirty-two million, eight hundred fifty-eight thousand, three hundred seventy".