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2727919434996 = 223472171826621
BaseRepresentation
bin100111101100100100101…
…010110011110011110100
3100122210020101200111110000
4213230210222303303310
5324143234333404441
65445104444431300
7401041246420200
oct47544452636364
910583211614400
102727919434996
119619a444a1a8
12380832848530
1316a31b021742
1496063b71b00
154ae5d1d52b6
hex27b24ab3cf4

2727919434996 has 90 divisors (see below), whose sum is σ = 8295617483538. Its totient is φ = 779405548320.

The previous prime is 2727919434979. The next prime is 2727919435001. The reversal of 2727919434996 is 6994349197272.

2727919434996 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 9 + 194 + 349 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2290337184996 + 437582250000 = 1513386^2 + 661500^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85897435 + ... + 85929186.

Almost surely, 22727919434996 is an apocalyptic number.

It is an amenable number.

2727919434996 is an abundant number, since it is smaller than the sum of its proper divisors (5567698048542).

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

2727919434996 is a wasteful number, since it uses less digits than its factorization.

2727919434996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171826651 (or 171826633 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 2727919434996 in words is "two trillion, seven hundred twenty-seven billion, nine hundred nineteen million, four hundred thirty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 171826621 343653242 515479863 687306484 1030959726 1202786347 1546439589 2061919452 2405572694 3092879178 3608359041 4639318767 4811145388 6185758356 7216718082 8419504429 9278637534 10825077123 13917956301 14433436164 16839008858 18557275068 21650154246 25258513287 27835912602 32475231369 33678017716 43300308492 50517026574 55671825204 64950462738 75775539861 97425694107 101034053148 129900925476 151551079722 194851388214 227326619583 303102159444 389702776428 454653239166 681979858749 909306478332 1363959717498 2727919434996