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132022208031648 = 2531123103365914423
BaseRepresentation
bin11110000001001011010000…
…110011111110101110100000
3122022110012101200012000222120
4132001023100303332232200
5114301022440224003043
61144442055354104240
736544201250313504
oct3601132063765640
9568405350160876
10132022208031648
1139080338692980
121298295641b080
135888843aa848c
142485ca22a2304
15103e302098983
hex7812d0cfeba0

132022208031648 has 384 divisors, whose sum is σ = 398467740303360. Its totient is φ = 37882795822080.

The previous prime is 132022208031641. The next prime is 132022208031709. The reversal of 132022208031648 is 846130802220231.

It is not an unprimeable number, because it can be changed into a prime (132022208031641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9153581365 + ... + 9153595787.

It is an arithmetic number, because the mean of its divisors is an integer number (1037676407040).

Almost surely, 2132022208031648 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 132022208031648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199233870151680).

132022208031648 is an abundant number, since it is smaller than the sum of its proper divisors (266445532271712).

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

132022208031648 is a wasteful number, since it uses less digits than its factorization.

132022208031648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 18224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 132022208031648 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred eight million, thirty-one thousand, six hundred forty-eight".