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3969728568 = 233313292412
BaseRepresentation
bin1110110010011101…
…0100000000111000
3101020122202002212000
43230213110000320
531112222303233
61453525021000
7200242064451
oct35447240070
911218662760
103969728568
111757898913
12929554760
134b3583020
14299314128
15183795d13
hexec9d4038

3969728568 has 288 divisors, whose sum is σ = 12606157200. Its totient is φ = 1150571520.

The previous prime is 3969728519. The next prime is 3969728573. The reversal of 3969728568 is 8658279693.

3969728568 is a `hidden beast` number, since 3 + 9 + 69 + 7 + 2 + 8 + 568 = 666.

Its product of digits (39191040) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96822628 + ... + 96822668.

Almost surely, 23969728568 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 3969728568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303078600).

3969728568 is an abundant number, since it is smaller than the sum of its proper divisors (8636428632).

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

3969728568 is a wasteful number, since it uses less digits than its factorization.

3969728568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 88 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 3969728568 is about 63005.7820203829. The cubic root of 3969728568 is about 1583.3864991000.

It can be divided in two parts, 39697 and 28568, that added together give a triangular number (68265 = T369).

The spelling of 3969728568 in words is "three billion, nine hundred sixty-nine million, seven hundred twenty-eight thousand, five hundred sixty-eight".