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11612213525412 = 22324153148440629
BaseRepresentation
bin1010100011111010110111…
…0111001011101110100100
31112010010011010102002221200
42220332231313023232210
53010223303130303122
640410324404042500
72305645322244213
oct250765567135644
945103133362850
1011612213525412
113777791894965
121376636993430
13663047527776
142c206993b07a
151520d88c45ac
hexa8faddcbba4

11612213525412 has 72 divisors (see below), whose sum is σ = 30636364744440. Its totient is φ = 3705078074880.

The previous prime is 11612213525383. The next prime is 11612213525531. The reversal of 11612213525412 is 21452531221611.

11612213525412 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 2 + 213 + 5 + 25 + 412 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1873657241856 + 9738556283556 = 1368816^2 + 3120666^2 .

It is a super-2 number, since 2×116122135254122 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74142087 + ... + 74298542.

It is an arithmetic number, because the mean of its divisors is an integer number (425505065895).

Almost surely, 211612213525412 is an apocalyptic number.

11612213525412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11612213525412 is an abundant number, since it is smaller than the sum of its proper divisors (19024151219028).

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

11612213525412 is a wasteful number, since it uses less digits than its factorization.

11612213525412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148440733 (or 148440728 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 11612213525412 in words is "eleven trillion, six hundred twelve billion, two hundred thirteen million, five hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 159 164 212 246 318 369 477 492 636 738 954 1476 1908 2173 4346 6519 8692 13038 19557 26076 39114 78228 148440629 296881258 445321887 593762516 890643774 1335965661 1781287548 2671931322 5343862644 6086065789 7867353337 12172131578 15734706674 18258197367 23602060011 24344263156 31469413348 36516394734 47204120022 54774592101 70806180033 73032789468 94408240044 109549184202 141612360066 219098368404 283224720132 322561486817 645122973634 967684460451 1290245947268 1935368920902 2903053381353 3870737841804 5806106762706 11612213525412