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132114847736412 = 223314392687316373
BaseRepresentation
bin11110000010100001100010…
…100100011010001001011100
3122022210001111220010122022000
4132002201202210122021130
5114304032202010031122
61144552420112322300
736553661041646352
oct3602414244321134
9568701456118260
10132114847736412
1139106657358252
12129988ab243390
1358944b8762a28
14248a56d9b97d2
15104192504a0ac
hex78286291a25c

132114847736412 has 96 divisors (see below), whose sum is σ = 342886647398400. Its totient is φ = 43991162139456.

The previous prime is 132114847736381. The next prime is 132114847736413. The reversal of 132114847736412 is 214637748411231.

132114847736412 is a `hidden beast` number, since 1 + 3 + 2 + 114 + 8 + 47 + 73 + 6 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114847736413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 417433858 + ... + 417750230.

It is an arithmetic number, because the mean of its divisors is an integer number (3571735910400).

Almost surely, 2132114847736412 is an apocalyptic number.

132114847736412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132114847736412 is an abundant number, since it is smaller than the sum of its proper divisors (210771799661988).

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

132114847736412 is a wasteful number, since it uses less digits than its factorization.

132114847736412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320512 (or 320504 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 132114847736412 in words is "one hundred thirty-two trillion, one hundred fourteen billion, eight hundred forty-seven million, seven hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1439 2687 2878 4317 5374 5756 8061 8634 10748 12951 16122 17268 24183 25902 32244 38853 48366 51804 72549 77706 96732 145098 155412 290196 316373 632746 949119 1265492 1898238 2847357 3796476 3866593 5694714 7733186 8542071 11389428 11599779 15466372 17084142 23199558 34168284 34799337 46399116 69598674 104398011 139197348 208796022 417592044 455260747 850094251 910521494 1365782241 1700188502 1821042988 2550282753 2731564482 3400377004 4097346723 5100565506 5463128964 7650848259 8194693446 10201131012 12292040169 15301696518 16389386892 22952544777 24584080338 30603393036 45905089554 49168160676 91810179108 1223285627189 2446571254378 3669856881567 4893142508756 7339713763134 11009570644701 14679427526268 22019141289402 33028711934103 44038282578804 66057423868206 132114847736412