Search a number
-
+
12941147520 = 273357831289
BaseRepresentation
bin11000000110101101…
…00011110110000000
31020101220001102001000
430003112203312000
5203000413210040
65540045412000
7635456640030
oct140326436600
936356042030
1012941147520
115540a38744
122611b6a000
1312b3137152
148aaa098c0
1550b1c9130
hex3035a3d80

12941147520 has 512 divisors, whose sum is σ = 53053056000. Its totient is φ = 2920071168.

The previous prime is 12941147449. The next prime is 12941147537. The reversal of 12941147520 is 2574114921.

12941147520 is a `hidden beast` number, since 1 + 2 + 94 + 1 + 1 + 47 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10039036 + ... + 10040324.

It is an arithmetic number, because the mean of its divisors is an integer number (103619250).

Almost surely, 212941147520 is an apocalyptic number.

12941147520 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 12941147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26526528000).

12941147520 is an abundant number, since it is smaller than the sum of its proper divisors (40111908480).

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

12941147520 is a wasteful number, since it uses less digits than its factorization.

12941147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 12941 and 147520, that added together give a triangular number (160461 = T566).

The spelling of 12941147520 in words is "twelve billion, nine hundred forty-one million, one hundred forty-seven thousand, five hundred twenty".