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11442189960 = 23325231381907
BaseRepresentation
bin10101010100000000…
…11111011010001000
31002112102111110211100
422222000133122020
5141413200034320
65131221501400
7553356003255
oct125200373210
932472443740
1011442189960
1149418aa743
122273b71860
13110471b506
147a78d842c
1546e7d8790
hex2aa01f688

11442189960 has 96 divisors (see below), whose sum is σ = 38803976640. Its totient is φ = 2918585472.

The previous prime is 11442189959. The next prime is 11442189977. The reversal of 11442189960 is 6998124411.

It is a happy number.

It is a super-2 number, since 2×114421899602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682674 + ... + 699233.

It is an arithmetic number, because the mean of its divisors is an integer number (404208090).

Almost surely, 211442189960 is an apocalyptic number.

11442189960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442189960 is an abundant number, since it is smaller than the sum of its proper divisors (27361786680).

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

11442189960 is a wasteful number, since it uses less digits than its factorization.

11442189960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381947 (or 1381940 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11442189960 in words is "eleven billion, four hundred forty-two million, one hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1381907 2763814 4145721 5527628 6909535 8291442 11055256 12437163 13819070 16582884 20728605 24874326 27638140 31783861 33165768 41457210 49748652 55276280 62185815 63567722 82914420 95351583 99497304 124371630 127135444 158919305 165828840 190703166 248743260 254270888 286054749 317838610 381406332 476757915 497486520 572109498 635677220 762812664 953515830 1144218996 1271354440 1430273745 1907031660 2288437992 2860547490 3814063320 5721094980 11442189960