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1116696672 = 253372132029
BaseRepresentation
bin100001010001111…
…0111000001100000
32212211021001212000
41002203313001200
54241333243142
6302450404000
736446523300
oct10243670140
92784231760
101116696672
11523389813
12271b90600
1314a478680
14a8447600
156808314c
hex428f7060

1116696672 has 288 divisors, whose sum is σ = 4082248800. Its totient is φ = 294368256.

The previous prime is 1116696661. The next prime is 1116696677. The reversal of 1116696672 is 2766966111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11166966722 = 2494022914511751168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116696677) 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, 549354 + ... + 551382.

It is an arithmetic number, because the mean of its divisors is an integer number (14174475).

Almost surely, 21116696672 is an apocalyptic number.

1116696672 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 1116696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041124400).

1116696672 is an abundant number, since it is smaller than the sum of its proper divisors (2965552128).

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

1116696672 is a wasteful number, since it uses less digits than its factorization.

1116696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2054 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1116696672 is about 33417.0117155918. The cubic root of 1116696672 is about 1037.4768321531.

It can be divided in two parts, 111669 and 6672, that added together give a triangular number (118341 = T486).

The spelling of 1116696672 in words is "one billion, one hundred sixteen million, six hundred ninety-six thousand, six hundred seventy-two".