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1145188668 = 2231373227443
BaseRepresentation
bin100010001000010…
…0011000100111100
32221210212121112010
41010100203010330
54321132014133
6305345211220
740243641321
oct10420430474
92853777463
101145188668
1153847a218
1227b630b10
13153343140
14ac142b48
156a810263
hex4442313c

1145188668 has 96 divisors (see below), whose sum is σ = 2936537856. Its totient is φ = 345226752.

The previous prime is 1145188637. The next prime is 1145188679. The reversal of 1145188668 is 8668815411.

It is a super-2 number, since 2×11451886682 = 2622914170631228448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2584855 + ... + 2585297.

It is an arithmetic number, because the mean of its divisors is an integer number (30588936).

Almost surely, 21145188668 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 1145188668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468268928).

1145188668 is an abundant number, since it is smaller than the sum of its proper divisors (1791349188).

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

1145188668 is a wasteful number, since it uses less digits than its factorization.

1145188668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 1145188668 is about 33840.6363415347. The cubic root of 1145188668 is about 1046.2264144824.

The spelling of 1145188668 in words is "one billion, one hundred forty-five million, one hundred eighty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 227 292 438 443 454 681 876 886 908 949 1329 1362 1772 1898 2658 2724 2847 2951 3796 5316 5694 5759 5902 8853 11388 11518 11804 16571 17277 17706 23036 32339 33142 34554 35412 49713 64678 66284 69108 97017 99426 100561 129356 194034 198852 201122 215423 301683 388068 402244 420407 430846 603366 646269 840814 861692 1206732 1261221 1292538 1307293 1681628 2522442 2585076 2614586 3921879 5044884 5229172 7340953 7843758 14681906 15687516 22022859 29363812 44045718 88091436 95432389 190864778 286297167 381729556 572594334 1145188668