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1306055216412 = 22321716889126359
BaseRepresentation
bin10011000000010110111…
…101010000110100011100
311121212011020022022120200
4103000112331100310130
5132344300113411122
62435554331543500
7163234160111502
oct23002675206434
94555136268520
101306055216412
11463993136981
121911572bab90
1396211756a2b
14472db84c672
1523e908185ac
hex13016f50d1c

1306055216412 has 72 divisors (see below), whose sum is σ = 3495853015200. Its totient is φ = 409715309568.

The previous prime is 1306055216387. The next prime is 1306055216419. The reversal of 1306055216412 is 2146125506031.

1306055216412 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 5 + 5 + 2 + 1 + 641 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306055216419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10272889 + ... + 10399247.

It is an arithmetic number, because the mean of its divisors is an integer number (48553514100).

Almost surely, 21306055216412 is an apocalyptic number.

1306055216412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306055216412 is an abundant number, since it is smaller than the sum of its proper divisors (2189797798788).

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

1306055216412 is a wasteful number, since it uses less digits than its factorization.

1306055216412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143275 (or 143270 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1306055216412 in words is "one trillion, three hundred six billion, fifty-five million, two hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16889 33778 50667 67556 101334 126359 152001 202668 252718 287113 304002 379077 505436 574226 608004 758154 861339 1137231 1148452 1516308 1722678 2148103 2274462 2584017 3445356 4296206 4548924 5168034 6444309 8592412 10336068 12888618 19332927 25777236 38665854 77331708 2134077151 4268154302 6402231453 8536308604 12804462906 19206694359 25608925812 36279311567 38413388718 72558623134 76826777436 108837934701 145117246268 217675869402 326513804103 435351738804 653027608206 1306055216412