Search a number
-
+
991076616 = 233273193977
BaseRepresentation
bin111011000100101…
…010000100001000
32120001212220112100
4323010222010020
54012203422431
6242202113400
733363004125
oct7304520410
92501786470
10991076616
11469489592
12237aab860
1312a43468a
14958a774c
155c01c4e6
hex3b12a108

991076616 has 96 divisors (see below), whose sum is σ = 2737832760. Its totient is φ = 323813376.

The previous prime is 991076579. The next prime is 991076617. The reversal of 991076616 is 616670199.

It can be written as a sum of positive squares in 4 ways, for example, as 939667716 + 51408900 = 30654^2 + 7170^2 .

It is a super-2 number, since 2×9910766162 = 1964465717564022912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (991076617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013920 + ... + 1014896.

Almost surely, 2991076616 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 991076616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368916380).

991076616 is an abundant number, since it is smaller than the sum of its proper divisors (1746756144).

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

991076616 is a wasteful number, since it uses less digits than its factorization.

991076616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 991076616 is about 31481.3693475999. The cubic root of 991076616 is about 997.0166471233.

The spelling of 991076616 in words is "nine hundred ninety-one million, seventy-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 193 219 292 386 438 579 584 657 772 876 977 1158 1314 1544 1737 1752 1954 2316 2628 2931 3474 3908 4632 5256 5862 6948 7816 8793 11724 13896 14089 17586 23448 28178 35172 42267 56356 70344 71321 84534 112712 126801 142642 169068 188561 213963 253602 285284 338136 377122 427926 507204 565683 570568 641889 754244 855852 1014408 1131366 1283778 1508488 1697049 1711704 2262732 2567556 3394098 4525464 5135112 6788196 13576392 13764953 27529906 41294859 55059812 82589718 110119624 123884577 165179436 247769154 330358872 495538308 991076616