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1164991008 = 253137283313
BaseRepresentation
bin100010101110000…
…0101101000100000
310000012010200020010
41011130011220200
54341214203013
6311333444520
740604155146
oct10534055040
93005120203
101164991008
11548674a95
122861a0740
131574875bc
14b0a19596
156c4227c3
hex45705a20

1164991008 has 96 divisors (see below), whose sum is σ = 3101184576. Its totient is φ = 382906368.

The previous prime is 1164991001. The next prime is 1164991027. The reversal of 1164991008 is 8001994611.

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

It is not an unprimeable number, because it can be changed into a prime (1164991001) 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 15 ways as a sum of consecutive naturals, for example, 3721860 + ... + 3722172.

It is an arithmetic number, because the mean of its divisors is an integer number (32304006).

Almost surely, 21164991008 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 1164991008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550592288).

1164991008 is an abundant number, since it is smaller than the sum of its proper divisors (1936193568).

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

1164991008 is a wasteful number, since it uses less digits than its factorization.

1164991008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 1164991008 is about 34131.9646079742. The cubic root of 1164991008 is about 1052.2223551346. Note that the first 3 decimals are identical.

The spelling of 1164991008 in words is "one billion, one hundred sixty-four million, nine hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 283 313 411 548 566 626 822 849 939 1096 1132 1252 1644 1698 1878 2192 2264 2504 3288 3396 3756 4384 4528 5008 6576 6792 7512 9056 10016 13152 13584 15024 27168 30048 38771 42881 77542 85762 88579 116313 128643 155084 171524 177158 232626 257286 265737 310168 343048 354316 465252 514572 531474 620336 686096 708632 930504 1029144 1062948 1240672 1372192 1417264 1861008 2058288 2125896 2834528 3722016 4116576 4251792 8503584 12135323 24270646 36405969 48541292 72811938 97082584 145623876 194165168 291247752 388330336 582495504 1164991008