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7146885120 = 21235891307
BaseRepresentation
bin1101010011111110…
…01101000000000000
3200110002010101021220
412221333031000000
5104114100310440
63141102315040
7342051343524
oct65177150000
920402111256
107146885120
113038259631
121475588a80
1389b88410b
144bb273d84
152bc6808d0
hex1a9fcd000

7146885120 has 208 divisors, whose sum is σ = 23141868480. Its totient is φ = 1882980352.

The previous prime is 7146885103. The next prime is 7146885121. The reversal of 7146885120 is 215886417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7146885121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5467507 + ... + 5468813.

Almost surely, 27146885120 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 7146885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570934240).

7146885120 is an abundant number, since it is smaller than the sum of its proper divisors (15994983360).

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

7146885120 is a wasteful number, since it uses less digits than its factorization.

7146885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 7146885120 is about 84539.2519484293. The cubic root of 7146885120 is about 1926.2187251933.

The spelling of 7146885120 in words is "seven billion, one hundred forty-six million, eight hundred eighty-five thousand, one hundred twenty".