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132480130048 = 210720299109
BaseRepresentation
bin111101101100001101…
…1100101110000000000
3110122221202201220110021
41323120123211300000
54132304403130143
6140505512543224
712366660345130
oct1733033456000
9418852656407
10132480130048
1151203641592
12218133b1b14
13c653967ac6
1465aaa26ac0
1536a5966ced
hex1ed86e5c00

132480130048 has 88 divisors (see below), whose sum is σ = 302846280800. Its totient is φ = 56742985728.

The previous prime is 132480130031. The next prime is 132480130067. The reversal of 132480130048 is 840031084231.

It is a junction number, because it is equal to n+sod(n) for n = 132480129995 and 132480130022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14539318 + ... + 14548426.

Almost surely, 2132480130048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132480130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151423140400).

132480130048 is an abundant number, since it is smaller than the sum of its proper divisors (170366150752).

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

132480130048 is an equidigital number, since it uses as much as digits as its factorization.

132480130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11165 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 132480130048 in words is "one hundred thirty-two billion, four hundred eighty million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2029 3584 4058 7168 8116 9109 14203 16232 18218 28406 32464 36436 56812 63763 64928 72872 113624 127526 129856 145744 227248 255052 259712 291488 454496 510104 519424 582976 908992 1020208 1038848 1165952 1817984 2040416 2077696 2331904 3635968 4080832 4663808 7271936 8161664 9327616 14543872 16323328 18482161 32646656 36964322 65293312 73928644 129375127 147857288 258750254 295714576 517500508 591429152 1035001016 1182858304 2070002032 2365716608 4140004064 4731433216 8280008128 9462866432 16560016256 18925732864 33120032512 66240065024 132480130048