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21260130368112 = 2433295779293651
BaseRepresentation
bin1001101010110000000101…
…00001001011101001110000
32210021110010001001210211000
410311120002201023221300
510241311221333234422
6113114434041122000
74322664564305406
oct465300241135160
983243101053730
1021260130368112
116857409384729
122474432789300
13bb2a8b342acc
14536dd2693476
1526d058976cac
hex13560284ba70

21260130368112 has 160 divisors (see below), whose sum is σ = 63139878432000. Its totient is φ = 6841133510400.

The previous prime is 21260130368077. The next prime is 21260130368159. The reversal of 21260130368112 is 21186303106212.

21260130368112 is a `hidden beast` number, since 2 + 1 + 2 + 601 + 3 + 0 + 36 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72252487 + ... + 72546137.

It is an arithmetic number, because the mean of its divisors is an integer number (394624240200).

Almost surely, 221260130368112 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 21260130368112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31569939216000).

21260130368112 is an abundant number, since it is smaller than the sum of its proper divisors (41879748063888).

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

21260130368112 is a wasteful number, since it uses less digits than its factorization.

21260130368112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299476 (or 299464 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21260130368112 in words is "twenty-one trillion, two hundred sixty billion, one hundred thirty million, three hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 5779 6264 11558 12528 17337 23116 34674 46232 52011 69348 92464 104022 138696 156033 167591 208044 277392 293651 312066 335182 416088 502773 587302 624132 670364 832176 880953 1005546 1174604 1248264 1340728 1508319 1761906 2011092 2349208 2496528 2642859 2681456 3016638 3523812 4022184 4524957 4698416 5285718 6033276 7047624 7928577 8044368 8515879 9049914 10571436 12066552 14095248 15857154 17031758 18099828 21142872 24133104 25547637 31714308 34063516 36199656 42285744 51095274 63428616 68127032 72399312 76642911 102190548 126857232 136254064 153285822 204381096 229928733 306571644 408762192 459857466 613143288 919714932 1226286576 1697009129 1839429864 3394018258 3678859728 5091027387 6788036516 10182054774 13576073032 15273082161 20364109548 27152146064 30546164322 40728219096 45819246483 49213264741 61092328644 81456438192 91638492966 98426529482 122184657288 147639794223 183276985932 196853058964 244369314576 295279588446 366553971864 393706117928 442919382669 590559176892 733107943728 787412235856 885838765338 1181118353784 1328758148007 1771677530676 2362236707568 2657516296014 3543355061352 5315032592028 7086710122704 10630065184056 21260130368112