Search a number
-
+
12920542830 = 232513193591619
BaseRepresentation
bin11000000100001111…
…11101011001101110
31020100110021120201100
430002013331121232
5202430124332310
65534032023530
7635116542036
oct140207753156
936313246640
1012920542830
115530345078
122607091ba6
1312abaa1720
148a7da48c6
155094a8ec0
hex3021fd66e

12920542830 has 192 divisors, whose sum is σ = 38211264000. Its totient is φ = 3002800896.

The previous prime is 12920542787. The next prime is 12920542837. The reversal of 12920542830 is 3824502921.

It is a happy number.

12920542830 is a `hidden beast` number, since 1 + 29 + 205 + 428 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920542837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7979761 + ... + 7981379.

It is an arithmetic number, because the mean of its divisors is an integer number (199017000).

Almost surely, 212920542830 is an apocalyptic number.

12920542830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12920542830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

12920542830 is an abundant number, since it is smaller than the sum of its proper divisors (25290721170).

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

12920542830 is a wasteful number, since it uses less digits than its factorization.

12920542830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12920542830 in words is "twelve billion, nine hundred twenty million, five hundred forty-two thousand, eight hundred thirty".