Search a number
-
+
3116981376 = 27324165993
BaseRepresentation
bin1011100111001001…
…0101110010000000
322001020011001121200
42321302111302000
522340421401001
61233143421200
7140145622155
oct27162256200
98036131550
103116981376
11135a500273
1272ba54800
133a89c24a2
14217d7822c
151339a0086
hexb9c95c80

3116981376 has 96 divisors (see below), whose sum is σ = 9188344620. Its totient is φ = 1013637120.

The previous prime is 3116981359. The next prime is 3116981389. The reversal of 3116981376 is 6731896113.

It can be written as a sum of positive squares in 2 ways, for example, as 3044390976 + 72590400 = 55176^2 + 8520^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14236 + ... + 80228.

Almost surely, 23116981376 is an apocalyptic number.

3116981376 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 3116981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594172310).

3116981376 is an abundant number, since it is smaller than the sum of its proper divisors (6071363244).

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

3116981376 is a wasteful number, since it uses less digits than its factorization.

3116981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66054 (or 66039 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 3116981376 is about 55829.9326168320. The cubic root of 3116981376 is about 1460.7573127442.

It can be divided in two parts, 31169813 and 76, that added together give a square (31169889 = 55832).

The spelling of 3116981376 in words is "three billion, one hundred sixteen million, nine hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 7872 11808 15744 23616 47232 65993 131986 197979 263972 395958 527944 593937 791916 1055888 1187874 1583832 2111776 2375748 2705713 3167664 4223552 4751496 5411426 6335328 8117139 8447104 9502992 10822852 12670656 16234278 19005984 21645704 24351417 25341312 32468556 38011968 43291408 48702834 64937112 76023936 86582816 97405668 129874224 173165632 194811336 259748448 346331264 389622672 519496896 779245344 1038993792 1558490688 3116981376