Search a number
-
+
132799978752 = 2837217416183
BaseRepresentation
bin111101110101101111…
…1101101110100000000
3110200210001120220101120
41323223133231310000
54133433243310002
6141001340232240
712410623123500
oct1735337556400
9420701526346
10132799978752
1151358142661
12218a253b680
13c6a4cc51ac
1465db2c5a00
1536c3a96cbc
hex1eeb7edd00

132799978752 has 864 divisors, whose sum is σ = 458720889984. Its totient is φ = 33855897600.

The previous prime is 132799978741. The next prime is 132799978789. The reversal of 132799978752 is 257879997231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599999703 + ... + 1599999785.

It is an arithmetic number, because the mean of its divisors is an integer number (530926956).

Almost surely, 2132799978752 is an apocalyptic number.

132799978752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132799978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229360444992).

132799978752 is an abundant number, since it is smaller than the sum of its proper divisors (325920911232).

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

132799978752 is a wasteful number, since it uses less digits than its factorization.

132799978752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 69.

The spelling of 132799978752 in words is "one hundred thirty-two billion, seven hundred ninety-nine million, nine hundred seventy-eight thousand, seven hundred fifty-two".