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3716498016 = 2532711295779
BaseRepresentation
bin1101110110000101…
…0100001001100000
3100121000020122211200
43131201110021200
530102410414031
61412441241200
7161045466120
oct33541241140
910530218750
103716498016
111637958a70
12878793200
13472c7c06a
14273836c80
1516b4248e6
hexdd854260

3716498016 has 288 divisors, whose sum is σ = 13633401600. Its totient is φ = 931875840.

The previous prime is 3716498011. The next prime is 3716498063. The reversal of 3716498016 is 6108946173.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3716498011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640215 + ... + 645993.

It is an arithmetic number, because the mean of its divisors is an integer number (47338200).

Almost surely, 23716498016 is an apocalyptic number.

3716498016 is a gapful number since it is divisible by the number (36) 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 3716498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816700800).

3716498016 is an abundant number, since it is smaller than the sum of its proper divisors (9916903584).

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

3716498016 is a wasteful number, since it uses less digits than its factorization.

3716498016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3716498016 is about 60963.0873233960. The cubic root of 3716498016 is about 1548.9758084456.

The spelling of 3716498016 in words is "three billion, seven hundred sixteen million, four hundred ninety-eight thousand, sixteen".