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11160000432 = 2432718895861
BaseRepresentation
bin10100110010011000…
…00001011110110000
31001210202111202120100
422121030001132300
5140323430003212
65043221312400
7543361303260
oct123114013660
931722452510
1011160000432
114807590559
1221b5565700
13108b118369
1477c23d7a0
15454b46bdc
hex2993017b0

11160000432 has 120 divisors (see below), whose sum is σ = 35719276320. Its totient is φ = 3186339840.

The previous prime is 11160000431. The next prime is 11160000469. The reversal of 11160000432 is 23400006111.

It is a happy number.

It is a super-3 number, since 3×111600004323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11160000431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901182 + ... + 1907042.

It is an arithmetic number, because the mean of its divisors is an integer number (297660636).

Almost surely, 211160000432 is an apocalyptic number.

11160000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11160000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859638160).

11160000432 is an abundant number, since it is smaller than the sum of its proper divisors (24559275888).

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

11160000432 is a wasteful number, since it uses less digits than its factorization.

11160000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11160000432 its reverse (23400006111), we get a palindrome (34560006543).

The spelling of 11160000432 in words is "eleven billion, one hundred sixty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1889 3778 5667 5861 7556 11334 11722 13223 15112 17001 17583 22668 23444 26446 30224 34002 35166 39669 41027 45336 46888 52749 52892 68004 70332 79338 82054 90672 93776 105498 105784 119007 123081 136008 140664 158676 164108 210996 211568 238014 246162 272016 281328 317352 328216 369243 421992 476028 492324 634704 656432 738486 843984 952056 984648 1476972 1904112 1969296 2953944 5907888 11071429 22142858 33214287 44285716 66428574 77500003 88571432 99642861 132857148 155000006 177142864 199285722 232500009 265714296 310000012 398571444 465000018 531428592 620000024 697500027 797142888 930000036 1240000048 1395000054 1594285776 1860000072 2790000108 3720000144 5580000216 11160000432