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112921065276448 = 251113197312507251
BaseRepresentation
bin11001101011001101111011…
…111110111100010000100000
3112210211011000012012122010111
4121223031323332330100200
5104300044320202321243
61040055115442141104
732533164156634402
oct3153157376742040
9483734005178114
10112921065276448
1132a86611558850
12107b8a38351794
134b015455b0240
141dc55a175cb72
15d0c50926039d
hex66b37bfbc420

112921065276448 has 96 divisors (see below), whose sum is σ = 261311714701632. Its totient is φ = 47355450240000.

The previous prime is 112921065276433. The next prime is 112921065276463. The reversal of 112921065276448 is 844672560129211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112921065276433) and next prime (112921065276463).

It is a junction number, because it is equal to n+sod(n) for n = 112921065276392 and 112921065276401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774823 + ... + 15282073.

It is an arithmetic number, because the mean of its divisors is an integer number (2721997028142).

Almost surely, 2112921065276448 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 112921065276448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130655857350816).

112921065276448 is an abundant number, since it is smaller than the sum of its proper divisors (148390649425184).

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

112921065276448 is a wasteful number, since it uses less digits than its factorization.

112921065276448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509258 (or 12509250 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 112921065276448 in words is "one hundred twelve trillion, nine hundred twenty-one billion, sixty-five million, two hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1973 2288 3946 4576 7892 15784 21703 25649 31568 43406 51298 63136 86812 102596 173624 205192 282139 347248 410384 564278 694496 820768 1128556 2257112 4514224 9028448 12507251 25014502 50029004 100058008 137579761 162594263 200116016 275159522 325188526 400232032 550319044 650377052 1100638088 1300754104 1788536893 2201276176 2601508208 3577073786 4402552352 5203016416 7154147572 14308295144 24676806223 28616590288 49353612446 57233180576 98707224892 197414449784 271444868453 320798480899 394828899568 542889736906 641596961798 789657799136 1085779473812 1283193923596 2171558947624 2566387847192 3528783289889 4343117895248 5132775694384 7057566579778 8686235790496 10265551388768 14115133159556 28230266319112 56460532638224 112921065276448