Search a number
-
+
132206990472 = 23327325872
BaseRepresentation
bin111101100100000100…
…1101001010010001000
3110122020201202222101200
41323020021221102020
54131224442143342
6140422434344200
712360132606624
oct1731011512210
9418221688350
10132206990472
11510834437a7
1221757a2b060
13c60c1b2c5b
146582646184
15368b9b194c
hex1ec8269488

132206990472 has 108 divisors (see below), whose sum is σ = 363652237845. Its totient is φ = 43391265408.

The previous prime is 132206990459. The next prime is 132206990537. The reversal of 132206990472 is 274099602231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

132206990472 is a `hidden beast` number, since 1 + 32 + 2 + 0 + 69 + 90 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131599170756 + 607819716 = 362766^2 + 24654^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=257106.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225224563 + ... + 225225149.

Almost surely, 2132206990472 is an apocalyptic number.

132206990472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132206990472

132206990472 is an abundant number, since it is smaller than the sum of its proper divisors (231445247373).

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

132206990472 is an frugal number, since it uses more digits than its factorization.

132206990472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 132206990472 in words is "one hundred thirty-two billion, two hundred six million, nine hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 587 657 876 1174 1314 1752 1761 2348 2628 3522 4696 5256 5283 5329 7044 10566 10658 14088 15987 21132 21316 31974 42264 42632 42851 47961 63948 85702 95922 127896 128553 171404 191844 257106 342808 344569 383688 385659 514212 689138 771318 1028424 1033707 1378276 1542636 2067414 2756552 3085272 3101121 3128123 4134828 6202242 6256246 8269656 9384369 12404484 12512492 18768738 24808968 25024984 25153537 28153107 37537476 50307074 56306214 75074952 75460611 100614148 112612428 150921222 201228296 225224856 226381833 301842444 452763666 603684888 905527332 1811054664 1836208201 3672416402 5508624603 7344832804 11017249206 14689665608 16525873809 22034498412 33051747618 44068996824 66103495236 132206990472