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610312352132 = 227173742418171
BaseRepresentation
bin10001110000110010111…
…00110111000110000100
32011100022201100211012002
420320121130313012010
534444404430232012
61144212411444432
762044052253410
oct10703134670604
92140281324162
10610312352132
1121591745936a
129a348456718
134572427bb12
1421779ab3d40
1510d203797c2
hex8e19737184

610312352132 has 96 divisors (see below), whose sum is σ = 1327832061696. Its totient is φ = 239437209600.

The previous prime is 610312352107. The next prime is 610312352137. The reversal of 610312352132 is 231253213016.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 610312352095 and 610312352104.

It is not an unprimeable number, because it can be changed into a prime (610312352137) 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, 74688407 + ... + 74696577.

It is an arithmetic number, because the mean of its divisors is an integer number (13831583976).

Almost surely, 2610312352132 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 610312352132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663916030848).

610312352132 is an abundant number, since it is smaller than the sum of its proper divisors (717519709564).

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

610312352132 is a wasteful number, since it uses less digits than its factorization.

610312352132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 610312352132 its reverse (231253213016), we get a palindrome (841565565148).

The spelling of 610312352132 in words is "six hundred ten billion, three hundred twelve million, three hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 119 148 238 259 476 518 629 1036 1258 2516 4241 4403 8171 8482 8806 16342 16964 17612 29687 32684 57197 59374 72097 114394 118748 138907 144194 156917 228788 277814 288388 302327 313834 504679 555628 604654 627668 972349 1009358 1098419 1209308 1944698 2018716 2116289 2196838 2667589 3889396 4232578 4393676 5139559 5335178 8465156 10279118 10670356 18673123 20558236 34653211 35976913 37346246 69306422 71953826 74692492 138612844 143907652 242572477 485144954 589104587 970289908 1178209174 1282168807 2356418348 2564337614 4123732109 5128675228 8247464218 8975181649 16494928436 17950363298 21796869719 35900726596 43593739438 87187478876 152578088033 305156176066 610312352132