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2116326236112 = 2432112121460413
BaseRepresentation
bin11110110010111110110…
…111111001111111010000
321111022121102011220211100
4132302332313321333100
5234133214004023422
64300120555544400
7305620352124414
oct36627667717720
97438542156740
102116326236112
1174658aa95800
122a21a945b100
131247515b284a
1474605d24d44
153a0b56a07ac
hex1ecbedf9fd0

2116326236112 has 90 divisors (see below), whose sum is σ = 6510156729986. Its totient is φ = 641310975360.

The previous prime is 2116326236107. The next prime is 2116326236113.

2116326236112 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 32 + 6 + 2 + 3 + 611 + 2 = 666.

2116326236112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1952961530256 + 163364705856 = 1397484^2 + 404184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (2116326236113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60712783 + ... + 60747630.

Almost surely, 22116326236112 is an apocalyptic number.

2116326236112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2116326236112 is an abundant number, since it is smaller than the sum of its proper divisors (4393830493874).

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

2116326236112 is a wasteful number, since it uses less digits than its factorization.

2116326236112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121460449 (or 121460429 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 2116326236112 in words is "two trillion, one hundred sixteen billion, three hundred twenty-six million, two hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 121460413 242920826 364381239 485841652 728762478 971683304 1093143717 1336064543 1457524956 1943366608 2186287434 2672129086 2915049912 4008193629 4372574868 5344258172 5830099824 8016387258 8745149736 10688516344 12024580887 14696709973 16032774516 17490299472 21377032688 24049161774 29393419946 32065549032 44090129919 48098323548 58786839892 64131098064 88180259838 96196647096 117573679784 132270389757 176360519676 192393294192 235147359568 264540779514 352721039352 529081559028 705442078704 1058163118056 2116326236112