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132869345984 = 269734136271
BaseRepresentation
bin111101110111110100…
…0010101001011000000
3110200221220010010100022
41323233220111023000
54134104023032414
6141012255113012
712412424543354
oct1735750251300
9420856103308
10132869345984
1151393311251
1221901812768
13c6b64a19ab
1466065c1464
1536c9bea18e
hex1eefa152c0

132869345984 has 56 divisors (see below), whose sum is σ = 266501319168. Its totient is φ = 65720033280.

The previous prime is 132869345981. The next prime is 132869346031. The reversal of 132869345984 is 489543968231.

It is not an unprimeable number, because it can be changed into a prime (132869345981) 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 7 ways as a sum of consecutive naturals, for example, 21184769 + ... + 21191039.

It is an arithmetic number, because the mean of its divisors is an integer number (4758952128).

Almost surely, 2132869345984 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 132869345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250659584).

132869345984 is an abundant number, since it is smaller than the sum of its proper divisors (133631973184).

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

132869345984 is an equidigital number, since it uses as much as digits as its factorization.

132869345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9783 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 62.

The spelling of 132869345984 in words is "one hundred thirty-two billion, eight hundred sixty-nine million, three hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 3413 6208 6271 6826 12542 13652 25084 27304 50168 54608 100336 109216 200672 218432 331061 401344 608287 662122 1216574 1324244 2433148 2648488 4866296 5296976 9732592 10593952 19465184 21187904 21402923 38930368 42805846 85611692 171223384 342446768 684893536 1369787072 2076083531 4152167062 8304334124 16608668248 33217336496 66434672992 132869345984