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132828697248 = 25313106433251
BaseRepresentation
bin111101110110100110…
…1010001001010100000
3110200212001121221202120
41323231031101022200
54134013121302443
6141004243544240
712411422204052
oct1735515211240
9420761557676
10132828697248
1151372378255
12218b008b080
13c6aac3baa0
14660103d8d2
1536c636b083
hex1eed3512a0

132828697248 has 48 divisors (see below), whose sum is σ = 375496513056. Its totient is φ = 40870368000.

The previous prime is 132828697231. The next prime is 132828697271. The reversal of 132828697248 is 842796828231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 132828697191 and 132828697200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53215378 + ... + 53217873.

It is an arithmetic number, because the mean of its divisors is an integer number (7822844022).

Almost surely, 2132828697248 is an apocalyptic number.

It is an amenable number.

132828697248 is an abundant number, since it is smaller than the sum of its proper divisors (242667815808).

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

132828697248 is a wasteful number, since it uses less digits than its factorization.

132828697248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106433277 (or 106433269 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 132828697248 in words is "one hundred thirty-two billion, eight hundred twenty-eight million, six hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 106433251 212866502 319299753 425733004 638599506 851466008 1277199012 1383632263 1702932016 2554398024 2767264526 3405864032 4150896789 5108796048 5534529052 8301793578 10217592096 11069058104 16603587156 22138116208 33207174312 44276232416 66414348624 132828697248