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712090415112 = 233314799120549
BaseRepresentation
bin10100101110010111110…
…01010111000000001000
32112002000210202010022020
422113023321113000020
543131330121240422
61303044012524440
7102306156442116
oct12271371270010
92462023663266
10712090415112
11254aa55254aa
12b6011780720
13521c426a61b
1426672d3aab6
15137ca73795c
hexa5cbe57008

712090415112 has 128 divisors (see below), whose sum is σ = 1878736896000. Its totient is φ = 224581420800.

The previous prime is 712090415111. The next prime is 712090415131. The reversal of 712090415112 is 211514090217.

It is not an unprimeable number, because it can be changed into a prime (712090415111) 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, 34643014 + ... + 34663562.

It is an arithmetic number, because the mean of its divisors is an integer number (14677632000).

Almost surely, 2712090415112 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 712090415112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939368448000).

712090415112 is an abundant number, since it is smaller than the sum of its proper divisors (1166646480888).

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

712090415112 is a wasteful number, since it uses less digits than its factorization.

712090415112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21627 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 712090415112 in words is "seven hundred twelve billion, ninety million, four hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 991 1128 1457 1982 2914 2973 3964 4371 5828 5946 7928 8742 11656 11892 17484 20549 23784 30721 34968 41098 46577 61442 61647 82196 92163 93154 122884 123294 139731 164392 184326 186308 245768 246588 279462 368652 372616 493176 558924 637019 737304 965803 1117848 1274038 1443887 1911057 1931606 2548076 2887774 2897409 3822114 3863212 4331661 5096152 5775548 5794818 7644228 7726424 8663322 11551096 11589636 15288456 17326644 20364059 23179272 29939893 34653288 40728118 59879786 61092177 81456236 89819679 119759572 122184354 162912472 179639358 239519144 244368708 359278716 488737416 631285829 718557432 957110773 1262571658 1893857487 1914221546 2525143316 2871332319 3787714974 3828443092 5050286632 5742664638 7575429948 7656886184 11485329276 15150859896 22970658552 29670433963 59340867926 89011301889 118681735852 178022603778 237363471704 356045207556 712090415112