Search a number
-
+
132124094080 = 27511411672741
BaseRepresentation
bin111101100001100110…
…1011010111010000000
3110122000221210101220221
41323003031122322000
54131042232002310
6140410313512424
712355105161316
oct1730315327200
9418027711827
10132124094080
1151040674490
1221734112714
13c5c7c7a434
1465756280b6
153684589ada
hex1ec335ae80

132124094080 has 256 divisors, whose sum is σ = 355221054720. Its totient is φ = 46575616000.

The previous prime is 132124094077. The next prime is 132124094099. The reversal of 132124094080 is 80490421231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48201510 + ... + 48204250.

It is an arithmetic number, because the mean of its divisors is an integer number (1387582245).

Almost surely, 2132124094080 is an apocalyptic number.

132124094080 is a gapful number since it is divisible by the number (10) 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 132124094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177610527360).

132124094080 is an abundant number, since it is smaller than the sum of its proper divisors (223096960640).

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

132124094080 is a wasteful number, since it uses less digits than its factorization.

132124094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 132124094080 in words is "one hundred thirty-two billion, one hundred twenty-four million, ninety-four thousand, eighty".