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1168220064 = 253115320873
BaseRepresentation
bin100010110100001…
…1001111110100000
310000102012201122210
41011220121332200
54343031020224
6311531002120
740643464254
oct10550317640
93012181583
101168220064
1154a480030
12287299340
1315804829b
14b121a264
156c85e429
hex45a19fa0

1168220064 has 96 divisors (see below), whose sum is σ = 3408640704. Its totient is φ = 347310080.

The previous prime is 1168220057. The next prime is 1168220069. The reversal of 1168220064 is 4600228611.

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 (1168220069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45532 + ... + 66404.

It is an arithmetic number, because the mean of its divisors is an integer number (35506674).

Almost surely, 21168220064 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 1168220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704320352).

1168220064 is an abundant number, since it is smaller than the sum of its proper divisors (2240420640).

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

1168220064 is a wasteful number, since it uses less digits than its factorization.

1168220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20950 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1168220064 is about 34179.2343975110. The cubic root of 1168220064 is about 1053.1936217340.

Adding to 1168220064 its reverse (4600228611), we get a palindrome (5768448675).

The spelling of 1168220064 in words is "one billion, one hundred sixty-eight million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 20873 27984 41746 55968 62619 83492 125238 166984 229603 250476 333968 459206 500952 667936 688809 918412 1001904 1106269 1377618 1836824 2003808 2212538 2755236 3318807 3673648 4425076 5510472 6637614 7347296 8850152 11020944 12168959 13275228 17700304 22041888 24337918 26550456 35400608 36506877 48675836 53100912 73013754 97351672 106201824 146027508 194703344 292055016 389406688 584110032 1168220064