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136983549312 = 2732413928729
BaseRepresentation
bin111111110010011011…
…0110001010110000000
3111002120121201022022100
41333210312301112000
54221020242034222
6142532424510400
712616402646301
oct1774466612600
9432517638270
10136983549312
1153104708095
122266b61b400
13cbc096aa2c
1468b6b827a8
15386aecd4ac
hex1fe4db1580

136983549312 has 96 divisors (see below), whose sum is σ = 394293393000. Its totient is φ = 45648562176.

The previous prime is 136983549289. The next prime is 136983549323. The reversal of 136983549312 is 213945389631.

136983549312 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 83 + 549 + 3 + 12 = 666.

136983549312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1369835493122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4753764 + ... + 4782492.

Almost surely, 2136983549312 is an apocalyptic number.

136983549312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136983549312 is an abundant number, since it is smaller than the sum of its proper divisors (257309843688).

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

136983549312 is a wasteful number, since it uses less digits than its factorization.

136983549312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32888 (or 32873 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 136983549312 in words is "one hundred thirty-six billion, nine hundred eighty-three million, five hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4139 8278 12417 16556 24834 28729 33112 37251 49668 57458 66224 74502 86187 99336 114916 132448 149004 172374 198672 229832 258561 264896 298008 344748 397344 459664 517122 529792 596016 689496 794688 919328 1034244 1192032 1378992 1589376 1838656 2068488 2384064 2757984 3677312 4136976 4768128 5515968 8273952 11031936 16547904 33095808 118909331 237818662 356727993 475637324 713455986 951274648 1070183979 1426911972 1902549296 2140367958 2853823944 3805098592 4280735916 5707647888 7610197184 8561471832 11415295776 15220394368 17122943664 22830591552 34245887328 45661183104 68491774656 136983549312