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1168981164 = 22321323223487
BaseRepresentation
bin100010110101101…
…0011110010101100
310000110122101200200
41011223103302230
54343224344124
6311555153500
740653114231
oct10553236254
93013571620
101168981164
1154a94a93a
122875a5890
13158253840
14b1377788
156c95ebc9
hex45ad3cac

1168981164 has 144 divisors (see below), whose sum is σ = 3342323712. Its totient is φ = 341801856.

The previous prime is 1168981127. The next prime is 1168981169. The reversal of 1168981164 is 4611898611.

It is a happy number.

1168981164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1168981169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400129 + ... + 2400615.

Almost surely, 21168981164 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 1168981164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671161856).

1168981164 is an abundant number, since it is smaller than the sum of its proper divisors (2173342548).

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

1168981164 is a wasteful number, since it uses less digits than its factorization.

1168981164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 751 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1168981164 is about 34190.3665379592. The cubic root of 1168981164 is about 1053.4222920204.

The spelling of 1168981164 in words is "one billion, one hundred sixty-eight million, nine hundred eighty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 223 234 276 299 414 446 468 487 598 669 828 892 897 974 1196 1338 1461 1794 1948 2007 2676 2691 2899 2922 3588 4014 4383 5129 5382 5798 5844 6331 8028 8697 8766 10258 10764 11201 11596 12662 15387 17394 17532 18993 20516 22402 25324 26091 30774 33603 34788 37986 44804 46161 52182 56979 61548 66677 67206 75972 92322 100809 104364 108601 113958 133354 134412 145613 184644 200031 201618 217202 227916 266708 291226 325803 400062 403236 434404 436839 582452 600093 651606 800124 873678 977409 1200186 1303212 1310517 1411813 1747356 1954818 2400372 2497823 2621034 2823626 3909636 4235439 4995646 5242068 5647252 7493469 8470878 9991292 12706317 14986938 16941756 22480407 25412634 29973876 32471699 44960814 50825268 64943398 89921628 97415097 129886796 194830194 292245291 389660388 584490582 1168981164