Search a number
-
+
132760096455480 = 233513223284624167
BaseRepresentation
bin11110001011111010011110…
…011000111011101100111000
3122102001202000101102210021020
4132023322132120323230320
5114400120134143033410
61150205051335542440
736651412644401214
oct3613723630735470
9572052011383236
10132760096455480
113933527144513a
1212a8196782aa20
1359102b99b5a00
1424ad8a1553944
1510535dc585a70
hex78be9e63bb38

132760096455480 has 192 divisors, whose sum is σ = 450024964508160. Its totient is φ = 31258564406784.

The previous prime is 132760096455479. The next prime is 132760096455487. The reversal of 132760096455480 is 84554690067231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132760096455487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141845644 + ... + 142778523.

It is an arithmetic number, because the mean of its divisors is an integer number (2343880023480).

It is a 1-persistent number, because it is pandigital, but 2⋅132760096455480 = 265520192910960 is not.

Almost surely, 2132760096455480 is an apocalyptic number.

132760096455480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132760096455480 is an abundant number, since it is smaller than the sum of its proper divisors (317264868052680).

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

132760096455480 is a wasteful number, since it uses less digits than its factorization.

132760096455480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284624230 (or 284624213 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 132760096455480 in words is "one hundred thirty-two trillion, seven hundred sixty billion, ninety-six million, four hundred fifty-five thousand, four hundred eighty".