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512434441204 = 22737432267511
BaseRepresentation
bin1110111010011110111…
…10010000101111110100
31210222200102210202212221
413131033132100233310
531343431204104304
61031224212252124
752010413611460
oct7351736205764
91728612722787
10512434441204
1118835a979194
1283391311044
13394262c24aa
141ab3280d4a0
15d4e25bc054
hex774f790bf4

512434441204 has 72 divisors (see below), whose sum is σ = 1077619659648. Its totient is φ = 208709161920.

The previous prime is 512434441201. The next prime is 512434441213. The reversal of 512434441204 is 402144434215.

It is a self number, because there is not a number n which added to its sum of digits gives 512434441204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512434441201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781809 + ... + 2049319.

Almost surely, 2512434441204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512434441204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538809829824).

512434441204 is an abundant number, since it is smaller than the sum of its proper divisors (565185218444).

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

512434441204 is a wasteful number, since it uses less digits than its factorization.

512434441204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267645 (or 267600 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 512434441204 its reverse (402144434215), we get a palindrome (914578875419).

The spelling of 512434441204 in words is "five hundred twelve billion, four hundred thirty-four million, four hundred forty-one thousand, two hundred four".

Divisors: 1 2 4 7 14 28 37 43 74 86 148 172 259 301 518 602 1036 1204 1591 1849 3182 3698 6364 7396 11137 12943 22274 25886 44548 51772 68413 136826 267511 273652 478891 535022 957782 1070044 1872577 1915564 3745154 7490308 9897907 11502973 19795814 23005946 39591628 46011892 69285349 80520811 138570698 161041622 277141396 322083244 425610001 494627839 851220002 989255678 1702440004 1978511356 2979270007 3462394873 5958540014 6924789746 11917080028 13849579492 18301230043 36602460086 73204920172 128108610301 256217220602 512434441204