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1114163688 = 2331115726881
BaseRepresentation
bin100001001101000…
…1100100111101000
32212122111101020210
41002122030213220
54240211214223
6302320221120
736416143431
oct10232144750
92778441223
101114163688
11521a09740
1227116a7a0
13149a9c771
14a7d88488
1567c32893
hex4268c9e8

1114163688 has 64 divisors (see below), whose sum is σ = 3058096320. Its totient is φ = 335462400.

The previous prime is 1114163681. The next prime is 1114163689. The reversal of 1114163688 is 8863614111.

It is a super-2 number, since 2×11141636882 = 2482721447315522688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1114163681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28008 + ... + 54888.

It is an arithmetic number, because the mean of its divisors is an integer number (47782755).

Almost surely, 21114163688 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 1114163688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529048160).

1114163688 is an abundant number, since it is smaller than the sum of its proper divisors (1943932632).

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

1114163688 is a wasteful number, since it uses less digits than its factorization.

1114163688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27058 (or 27054 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 1114163688 is about 33379.0905807813. The cubic root of 1114163688 is about 1036.6918079714.

Adding to 1114163688 its reverse (8863614111), we get a palindrome (9977777799).

The spelling of 1114163688 in words is "one billion, one hundred fourteen million, one hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 10362 13816 20724 26881 41448 53762 80643 107524 161286 215048 295691 322572 591382 645144 887073 1182764 1774146 2365528 3548292 4220317 7096584 8440634 12660951 16881268 25321902 33762536 46423487 50643804 92846974 101287608 139270461 185693948 278540922 371387896 557081844 1114163688