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991872036 = 22322921812
BaseRepresentation
bin111011000111101…
…100010000100100
32120010101022122100
4323013230100210
54012404401121
6242231132100
733402526131
oct7307542044
92503338570
10991872036
11469982161
12238214030
1312a65273c
1495a33588
155c128026
hex3b1ec424

991872036 has 81 divisors (see below), whose sum is σ = 2611095123. Its totient is φ = 317459520.

The previous prime is 991872031. The next prime is 991872047. The reversal of 991872036 is 630278199.

The square root of 991872036 is 31494.

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 368870436 + 623001600 = 19206^2 + 24960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 991871982 and 991872000.

It is not an unprimeable number, because it can be changed into a prime (991872031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5479866 + ... + 5480046.

Almost surely, 2991872036 is an apocalyptic number.

991872036 is the 31494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991872036

991872036 is an abundant number, since it is smaller than the sum of its proper divisors (1619223087).

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

991872036 is a wasteful number, since it uses less digits than its factorization.

991872036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 215 counting only the distinct ones).

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

The cubic root of 991872036 is about 997.2833049180.

The spelling of 991872036 in words is "nine hundred ninety-one million, eight hundred seventy-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 181 261 348 362 522 543 724 841 1044 1086 1629 1682 2172 2523 3258 3364 5046 5249 6516 7569 10092 10498 15138 15747 20996 30276 31494 32761 47241 62988 65522 94482 98283 131044 152221 188964 196566 294849 304442 393132 456663 589698 608884 913326 950069 1179396 1369989 1826652 1900138 2739978 2850207 3800276 5479956 5700414 8550621 11400828 17101242 27552001 34202484 55104002 82656003 110208004 165312006 247968009 330624012 495936018 991872036