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4125454416 = 243437227379
BaseRepresentation
bin1111010111100101…
…0111000001010000
3101122111202210120000
43311321113001100
531422104020131
61521210450000
7204142532616
oct36571270120
911574683500
104125454416
111827790a66
12971733900
135099081b5
142b1c8d6b6
151922a6ce6
hexf5e57050

4125454416 has 200 divisors, whose sum is σ = 12349492320. Its totient is φ = 1328576256.

The previous prime is 4125454393. The next prime is 4125454423. The reversal of 4125454416 is 6144545214.

4125454416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10884915 + ... + 10885293.

Almost surely, 24125454416 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 4125454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174746160).

4125454416 is an abundant number, since it is smaller than the sum of its proper divisors (8224037904).

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

4125454416 is a wasteful number, since it uses less digits than its factorization.

4125454416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 4125454416 is about 64229.7004196657. The cubic root of 4125454416 is about 1603.8260539434.

The spelling of 4125454416 in words is "four billion, one hundred twenty-five million, four hundred fifty-four thousand, four hundred sixteen".