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4145354752 = 21171197271
BaseRepresentation
bin1111011100010101…
…0001100000000000
3101200220012211200111
43313011101200000
531442202323002
61523201201104
7204503635240
oct36705214000
911626184614
104145354752
111837a43420
12978330194
13510a85146
142b478db20
15193dd83d7
hexf7151800

4145354752 has 192 divisors, whose sum is σ = 10479006720. Its totient is φ = 1592524800.

The previous prime is 4145354723. The next prime is 4145354767. The reversal of 4145354752 is 2574535414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15296377 + ... + 15296647.

It is an arithmetic number, because the mean of its divisors is an integer number (54578160).

Almost surely, 24145354752 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 4145354752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239503360).

4145354752 is an abundant number, since it is smaller than the sum of its proper divisors (6333651968).

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

4145354752 is a wasteful number, since it uses less digits than its factorization.

4145354752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its digits is 336000, while the sum is 40.

The square root of 4145354752 is about 64384.4294220272. The cubic root of 4145354752 is about 1606.4007597759.

The spelling of 4145354752 in words is "four billion, one hundred forty-five million, three hundred fifty-four thousand, seven hundred fifty-two".