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3135458172 = 223711173147137
BaseRepresentation
bin1011101011100011…
…0100101101111100
322002111220210000110
42322320310231330
522410134130142
61235043430020
7140461645320
oct27270645574
98074823013
103135458172
111369980150
12736085310
133ac7914c2
1421a5c7980
151353ee99c
hexbae34b7c

3135458172 has 384 divisors, whose sum is σ = 10255859712. Its totient is φ = 720691200.

The previous prime is 3135458119. The next prime is 3135458173. The reversal of 3135458172 is 2718545313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3135458172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135458173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22886488 + ... + 22886624.

It is an arithmetic number, because the mean of its divisors is an integer number (26707968).

Almost surely, 23135458172 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 3135458172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127929856).

3135458172 is an abundant number, since it is smaller than the sum of its proper divisors (7120401540).

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

3135458172 is a wasteful number, since it uses less digits than its factorization.

3135458172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 3135458172 is about 55995.1620410192. The cubic root of 3135458172 is about 1463.6379800766.

The spelling of 3135458172 in words is "three billion, one hundred thirty-five million, four hundred fifty-eight thousand, one hundred seventy-two".