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3991206976 = 265321492
BaseRepresentation
bin1110110111100100…
…1111110001000000
3101022011011022200121
43231321033301000
531133222110401
61500013230024
7200622461641
oct35571176100
911264138617
103991206976
111768a28969
12934792314
134b7b63343
1429c1056c8
151855d9ca1
hexede4fc40

3991206976 has 63 divisors (see below), whose sum is σ = 8126845951. Its totient is φ = 1944809984.

The previous prime is 3991206929. The next prime is 3991207009. The reversal of 3991206976 is 6796021993.

The square root of 3991206976 is 63176.

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

It can be written as a sum of positive squares in 4 ways, for example, as 169000000 + 3822206976 = 13000^2 + 61824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26786550 + ... + 26786698.

Almost surely, 23991206976 is an apocalyptic number.

3991206976 is the 63176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3991206976

3991206976 is an abundant number, since it is smaller than the sum of its proper divisors (4135638975).

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

3991206976 is an frugal number, since it uses more digits than its factorization.

3991206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The cubic root of 3991206976 is about 1586.2370273141.

The spelling of 3991206976 in words is "three billion, nine hundred ninety-one million, two hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 149 212 298 424 596 848 1192 1696 2384 2809 3392 4768 5618 7897 9536 11236 15794 22201 22472 31588 44402 44944 63176 88804 89888 126352 177608 179776 252704 355216 418541 505408 710432 837082 1176653 1420864 1674164 2353306 3348328 4706612 6696656 9413224 13393312 18826448 26786624 37652896 62362609 75305792 124725218 249450436 498900872 997801744 1995603488 3991206976