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132147217272 = 23372639329803
BaseRepresentation
bin111101100010010010…
…1101000001101111000
3110122002120022011222110
41323010211220031320
54131114141423042
6140412501252320
712355505546010
oct1730445501570
9418076264873
10132147217272
1151052728264
122173ba040a0
13c5cc9b52b5
146578726c40
15368660609c
hex1ec4968378

132147217272 has 64 divisors (see below), whose sum is σ = 377590452480. Its totient is φ = 37753650432.

The previous prime is 132147217261. The next prime is 132147217289. The reversal of 132147217272 is 272712741231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132147217272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4419123 + ... + 4448925.

It is an arithmetic number, because the mean of its divisors is an integer number (5899850820).

Almost surely, 2132147217272 is an apocalyptic number.

132147217272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132147217272 is an abundant number, since it is smaller than the sum of its proper divisors (245443235208).

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

132147217272 is a wasteful number, since it uses less digits than its factorization.

132147217272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56212 (or 56208 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The spelling of 132147217272 in words is "one hundred thirty-two billion, one hundred forty-seven million, two hundred seventeen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 26393 29803 52786 59606 79179 89409 105572 119212 158358 178818 184751 208621 211144 238424 316716 357636 369502 417242 554253 625863 633432 715272 739004 834484 1108506 1251726 1478008 1668968 2217012 2503452 4434024 5006904 786590579 1573181158 2359771737 3146362316 4719543474 5506134053 6292724632 9439086948 11012268106 16518402159 18878173896 22024536212 33036804318 44049072424 66073608636 132147217272