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534134241256 = 2371153151108347
BaseRepresentation
bin1111100010111001110…
…00011011011111101000
31220001200201210211110011
413301130320123133220
532222401331210011
61045213342301304
753406226065610
oct7613470333750
91801621724404
10534134241256
11196585944140
1287628587834
133b4a3ba6675
141bbd0767a40
15dd6269c621
hex7c5ce1b7e8

534134241256 has 128 divisors (see below), whose sum is σ = 1280621352960. Its totient is φ = 202823712000.

The previous prime is 534134241191. The next prime is 534134241259. The reversal of 534134241256 is 652142431435.

It is not an unprimeable number, because it can be changed into a prime (534134241259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4875675 + ... + 4984021.

It is an arithmetic number, because the mean of its divisors is an integer number (10004854320).

Almost surely, 2534134241256 is an apocalyptic number.

534134241256 is a gapful number since it is divisible by the number (56) 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 534134241256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640310676480).

534134241256 is an abundant number, since it is smaller than the sum of its proper divisors (746487111704).

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

534134241256 is a wasteful number, since it uses less digits than its factorization.

534134241256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108575 (or 108571 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The spelling of 534134241256 in words is "five hundred thirty-four billion, one hundred thirty-four million, two hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 53 56 77 88 106 151 154 212 302 308 371 424 583 604 616 742 1057 1166 1208 1484 1661 2114 2332 2968 3322 4081 4228 4664 6644 8003 8162 8456 11627 13288 16006 16324 23254 32012 32648 46508 56021 64024 88033 93016 108347 112042 176066 216694 224084 352132 433388 448168 616231 704264 758429 866776 1191817 1232462 1516858 2383634 2464924 3033716 4767268 4929848 5742391 6067432 8342719 9534536 11484782 16360397 16685438 22969564 32720794 33370876 40196737 45939128 63166301 65441588 66741752 80393474 114522779 126332602 130883176 160786948 179964367 229045558 252665204 321573896 359928734 442164107 458091116 505330408 719857468 867101041 884328214 916182232 1259750569 1439714936 1734202082 1768656428 2519501138 3468404164 3537312856 5039002276 6069707287 6936808328 9538111451 10078004552 12139414574 19076222902 24278829148 38152445804 48557658296 66766780157 76304891608 133533560314 267067120628 534134241256