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531215422104 = 233292517514049
BaseRepresentation
bin1111011101011101110…
…10000001001010011000
31212210011022112110022010
413232232322001022120
532200412122001404
61044011554025520
753244004405023
oct7565672011230
91783138473263
10531215422104
11195318291104
1286b52b782a0
133b12a276b43
141b9d4c541ba
15dc412e2189
hex7baee81298

531215422104 has 128 divisors (see below), whose sum is σ = 1381484160000. Its totient is φ = 170016000000.

The previous prime is 531215422093. The next prime is 531215422109. The reversal of 531215422104 is 401224512135.

It is a super-2 number, since 2×5312154221042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531215422109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131194672 + ... + 131198720.

It is an arithmetic number, because the mean of its divisors is an integer number (10792845000).

Almost surely, 2531215422104 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 531215422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690742080000).

531215422104 is an abundant number, since it is smaller than the sum of its proper divisors (850268737896).

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

531215422104 is a wasteful number, since it uses less digits than its factorization.

531215422104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 531215422104 its reverse (401224512135), we get a palindrome (932439934239).

The spelling of 531215422104 in words is "five hundred thirty-one billion, two hundred fifteen million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 251 348 502 696 751 753 1004 1502 1506 2008 2253 3004 3012 4049 4506 6008 6024 7279 8098 9012 12147 14558 16196 18024 21779 21837 24294 29116 32392 43558 43674 48588 58232 65337 87116 87348 97176 117421 130674 174232 174696 188501 234842 261348 352263 377002 469684 522696 565503 704526 754004 939368 1016299 1131006 1409052 1508008 2032598 2262012 2818104 3040799 3048897 4065196 4524024 5466529 6081598 6097794 8130392 9122397 10933058 12163196 12195588 16399587 18244794 21866116 24326392 24391176 29472671 32799174 36489588 43732232 58945342 65598348 72979176 88183171 88418013 117890684 131196696 176366342 176836026 235781368 264549513 352732684 353672052 529099026 705465368 707344104 763240549 1058198052 1526481098 2116396104 2289721647 3052962196 4579443294 6105924392 9158886588 18317773176 22133975921 44267951842 66401927763 88535903684 132803855526 177071807368 265607711052 531215422104