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12571440500 = 2253174136073
BaseRepresentation
bin10111011010101000…
…01111010101110100
31012110010101100100102
423231110033111310
5201221242044000
65435241333232
7623350324013
oct135524172564
935403340312
1012571440500
115371283353
12252a197218
131254670cb8
1487388ca7a
154d89eb3d5
hex2ed50f574

12571440500 has 96 divisors (see below), whose sum is σ = 29780962848. Its totient is φ = 4617216000.

The previous prime is 12571440499. The next prime is 12571440503. The reversal of 12571440500 is 504417521.

It can be written as a sum of positive squares in 16 ways, for example, as 7498867216 + 5072573284 = 86596^2 + 71222^2 .

It is a super-2 number, since 2×125714405002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12571440503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330464 + ... + 366536.

It is an arithmetic number, because the mean of its divisors is an integer number (310218363).

Almost surely, 212571440500 is an apocalyptic number.

12571440500 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 12571440500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14890481424).

12571440500 is an abundant number, since it is smaller than the sum of its proper divisors (17209522348).

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

12571440500 is a wasteful number, since it uses less digits than its factorization.

12571440500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36150 (or 36138 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The spelling of 12571440500 in words is "twelve billion, five hundred seventy-one million, four hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 125 164 170 205 250 340 410 425 500 697 820 850 1025 1394 1700 2050 2125 2788 3485 4100 4250 5125 6970 8500 10250 13940 17425 20500 34850 36073 69700 72146 87125 144292 174250 180365 348500 360730 613241 721460 901825 1226482 1478993 1803650 2452964 2957986 3066205 3607300 4509125 5915972 6132410 7394965 9018250 12264820 14789930 15331025 18036500 25142881 29579860 30662050 36974825 50285762 61324100 73949650 76655125 100571524 125714405 147899300 153310250 184874125 251428810 306620500 369748250 502857620 628572025 739496500 1257144050 2514288100 3142860125 6285720250 12571440500