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12570427152 = 2433104927739
BaseRepresentation
bin10111011010100000…
…10111111100010000
31012110001110212022000
423231100113330100
5201221012132102
65435203514000
7623335603443
oct135520277420
935401425260
1012570427152
115370750a78
122529988900
1312543a799a
148736a765a
154d889b01c
hex2ed417f10

12570427152 has 80 divisors (see below), whose sum is σ = 36117480000. Its totient is φ = 4185997056.

The previous prime is 12570427127. The next prime is 12570427157. The reversal of 12570427152 is 25172407521.

12570427152 is a `hidden beast` number, since 12 + 5 + 70 + 427 + 152 = 666.

12570427152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125704271522 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12570427157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439299 + ... + 467037.

It is an arithmetic number, because the mean of its divisors is an integer number (451468500).

Almost surely, 212570427152 is an apocalyptic number.

12570427152 is a gapful number since it is divisible by the number (12) 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 12570427152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058740000).

12570427152 is an abundant number, since it is smaller than the sum of its proper divisors (23547052848).

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

12570427152 is a wasteful number, since it uses less digits than its factorization.

12570427152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28805 (or 28793 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 12570427152 in words is "twelve billion, five hundred seventy million, four hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1049 2098 3147 4196 6294 8392 9441 12588 16784 18882 25176 27739 28323 37764 50352 55478 56646 75528 83217 110956 113292 151056 166434 221912 226584 249651 332868 443824 453168 499302 665736 748953 998604 1331472 1497906 1997208 2995812 3994416 5991624 11983248 29098211 58196422 87294633 116392844 174589266 232785688 261883899 349178532 465571376 523767798 698357064 785651697 1047535596 1396714128 1571303394 2095071192 3142606788 4190142384 6285213576 12570427152