Search a number
-
+
13158022821480 = 233251719223318353
BaseRepresentation
bin1011111101111001011101…
…0001101011011001101000
31201120220011020022121020100
42333132113101223121220
53211040112320241410
643552413502025400
72525431033412625
oct277362721533150
951526136277210
1013158022821480
114213316943419
121586143278260
13745a4740b404
14336bcd10134c
1517c40c76d8c0
hexbf79746b668

13158022821480 has 1152 divisors, whose sum is σ = 51480058705920. Its totient is φ = 2895687843840.

The previous prime is 13158022821413. The next prime is 13158022821481. The reversal of 13158022821480 is 8412822085131.

13158022821480 is a `hidden beast` number, since 1 + 3 + 1 + 580 + 2 + 2 + 8 + 21 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13158022821481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1575240984 + ... + 1575249336.

It is an arithmetic number, because the mean of its divisors is an integer number (44687550960).

Almost surely, 213158022821480 is an apocalyptic number.

13158022821480 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 13158022821480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740029352960).

13158022821480 is an abundant number, since it is smaller than the sum of its proper divisors (38322035884440).

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

13158022821480 is a wasteful number, since it uses less digits than its factorization.

13158022821480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 13158022821480 in words is "thirteen trillion, one hundred fifty-eight billion, twenty-two million, eight hundred twenty-one thousand, four hundred eighty".