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3969504016 = 241928292
BaseRepresentation
bin1110110010011001…
…1101001100010000
3101020122022200211021
43230212131030100
531112143112031
61453520125224
7200240141002
oct35446351420
911218280737
103969504016
111757755135
12929466814
134b3504a5a
14299296372
1518374e511
hexec99d310

3969504016 has 45 divisors (see below), whose sum is σ = 8126806581. Its totient is φ = 1878023232.

The previous prime is 3969503987. The next prime is 3969504017. The reversal of 3969504016 is 6104059693.

The square root of 3969504016 is 63004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2285222416 + 1684281600 = 47804^2 + 41040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3969504017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4787890 + ... + 4788718.

Almost surely, 23969504016 is an apocalyptic number.

3969504016 is the 63004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3969504016

3969504016 is an abundant number, since it is smaller than the sum of its proper divisors (4157302565).

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

3969504016 is an frugal number, since it uses more digits than its factorization.

3969504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The cubic root of 3969504016 is about 1583.3566432124.

The spelling of 3969504016 in words is "three billion, nine hundred sixty-nine million, five hundred four thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 829 1444 1658 2888 3316 5776 6632 13264 15751 31502 63004 126008 252016 299269 598538 687241 1197076 1374482 2394152 2748964 4788304 5497928 10995856 13057579 26115158 52230316 104460632 208921264 248094001 496188002 992376004 1984752008 3969504016