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1164001505316 = 22313223188917713
BaseRepresentation
bin10000111100000011111…
…001010111000000100100
311010021111021012002211120
4100330003321113000210
5123032333341132231
62250422423533540
7150045020355336
oct20740371270044
94107437162746
101164001505316
11409717560241
121697118ba2b0
13859c3563090
14404a3583456
1520429674d96
hex10f03e57024

1164001505316 has 96 divisors (see below), whose sum is σ = 2939764423680. Its totient is φ = 356339367936.

The previous prime is 1164001505257. The next prime is 1164001505321. The reversal of 1164001505316 is 6135051004611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65705676 + ... + 65723388.

It is an arithmetic number, because the mean of its divisors is an integer number (30622546080).

Almost surely, 21164001505316 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 1164001505316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469882211840).

1164001505316 is an abundant number, since it is smaller than the sum of its proper divisors (1775762918364).

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

1164001505316 is a wasteful number, since it uses less digits than its factorization.

1164001505316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19845 (or 19843 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 1164001505316 its reverse (6135051004611), we get a palindrome (7299052509927).

The spelling of 1164001505316 in words is "one trillion, one hundred sixty-four billion, one million, five hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 223 446 669 892 1338 1889 2676 2899 3778 5667 5798 7556 8697 11334 11596 17394 17713 22668 24557 34788 35426 49114 53139 70852 73671 98228 106278 147342 212556 230269 294684 421247 460538 690807 842494 921076 1263741 1381614 1684988 2527482 2763228 3949999 5054964 5476211 7899998 10952422 11849997 15799996 16428633 21904844 23699994 32857266 33459857 47399988 51349987 65714532 66919714 100379571 102699974 133839428 154049961 200759142 205399948 308099922 401518284 434978141 616199844 869956282 1304934423 1739912564 2609868846 5219737692 7461548111 14923096222 22384644333 29846192444 44769288666 89538577332 97000125443 194000250886 291000376329 388000501772 582000752658 1164001505316