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4350064992 = 2537131721723
BaseRepresentation
bin1000000110100100…
…01011100101100000
3102020011102012100020
410003102023211200
532402104034432
61555352553440
7212540641140
oct40322134540
912204365306
104350064992
111932553239
12a149b2880
135442cb370
142d3a3a920
151a6d7322c
hex10348b960

4350064992 has 288 divisors, whose sum is σ = 14938060032. Its totient is φ = 1079156736.

The previous prime is 4350064967. The next prime is 4350065039. The reversal of 4350064992 is 2994600534.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2523843 + ... + 2525565.

It is an arithmetic number, because the mean of its divisors is an integer number (51868264).

Almost surely, 24350064992 is an apocalyptic number.

4350064992 is a gapful number since it is divisible by the number (42) 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 4350064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469030016).

4350064992 is an abundant number, since it is smaller than the sum of its proper divisors (10587995040).

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

4350064992 is a wasteful number, since it uses less digits than its factorization.

4350064992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4350064992 is about 65955.0224926048. The cubic root of 4350064992 is about 1632.4200307755.

The spelling of 4350064992 in words is "four billion, three hundred fifty million, sixty-four thousand, nine hundred ninety-two".