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1116506412 = 2232716932617
BaseRepresentation
bin100001010001100…
…1000100100101100
32212210220101212100
41002203020210230
54241311201122
6302442335100
736445101510
oct10243104454
92783811770
101116506412
1152326987a
12271aba490
1314a40cba8
14a83d8140
1568046aac
hex428c892c

1116506412 has 72 divisors (see below), whose sum is σ = 3228601376. Its totient is φ = 318691584.

The previous prime is 1116506401. The next prime is 1116506423. The reversal of 1116506412 is 2146056111.

1116506412 is a `hidden beast` number, since 1 + 1 + 1 + 650 + 6 + 4 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1116506401) and next prime (1116506423).

It is a super-2 number, since 2×11165064122 = 2493173136074227488, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 425328 + ... + 427944.

Almost surely, 21116506412 is an apocalyptic number.

1116506412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1116506412 is an abundant number, since it is smaller than the sum of its proper divisors (2112094964).

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

1116506412 is a wasteful number, since it uses less digits than its factorization.

1116506412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1116506412 is about 33414.1648406780. The cubic root of 1116506412 is about 1037.4179078996.

It can be divided in two parts, 1116 and 506412, that added together give a triangular number (507528 = T1007).

The spelling of 1116506412 in words is "one billion, one hundred sixteen million, five hundred six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1693 2617 3386 5079 5234 6772 7851 10158 10468 11851 15237 15702 18319 20316 23553 23702 30474 31404 35553 36638 47106 47404 54957 60948 71106 73276 94212 106659 109914 142212 164871 213318 219828 329742 426636 659484 4430581 8861162 13291743 17722324 26583486 31014067 39875229 53166972 62028134 79750458 93042201 124056268 159500916 186084402 279126603 372168804 558253206 1116506412