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1091411968 = 213172461
BaseRepresentation
bin100000100001101…
…1010000000000000
32211001200110202111
41001003122000000
54213400140333
6300144425104
736021564043
oct10103320000
92731613674
101091411968
11510089a69
12265618194
131451649ca
14a4d44c5a
1565c3b4cd
hex410da000

1091411968 has 84 divisors (see below), whose sum is σ = 2323666422. Its totient is φ = 512491520.

The previous prime is 1091411963. The next prime is 1091412017. The reversal of 1091411968 is 8691141901.

It can be written as a sum of positive squares in 3 ways, for example, as 1052872704 + 38539264 = 32448^2 + 6208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1091411968.

It is not an unprimeable number, because it can be changed into a prime (1091411963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2367258 + ... + 2367718.

Almost surely, 21091411968 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 1091411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161833211).

1091411968 is an abundant number, since it is smaller than the sum of its proper divisors (1232254454).

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

1091411968 is an frugal number, since it uses more digits than its factorization.

1091411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 40.

The square root of 1091411968 is about 33036.5247566992. The cubic root of 1091411968 is about 1029.5866528815.

The spelling of 1091411968 in words is "one billion, ninety-one million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1024 1088 1156 1844 2048 2176 2312 3688 4096 4352 4624 7376 7837 8192 8704 9248 14752 15674 17408 18496 29504 31348 34816 36992 59008 62696 69632 73984 118016 125392 133229 139264 147968 236032 250784 266458 295936 472064 501568 532916 591872 944128 1003136 1065832 1183744 1888256 2006272 2131664 2367488 3776512 4012544 4263328 8025088 8526656 16050176 17053312 32100352 34106624 64200704 68213248 136426496 272852992 545705984 1091411968