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30126625860006 = 23313211261777719
BaseRepresentation
bin1101101100110011001101…
…10101010010100110100110
310221200002002100120221012000
412312121212311102212212
512422043312210010011
6144023551510510130
76226401605422554
oct666314665224646
9127602070527160
1030126625860006
1196656a2997935
1234668aa065346
1313a6c0c273730
147621ca69abd4
153739e17e2356
hex1b6666d529a6

30126625860006 has 128 divisors (see below), whose sum is σ = 72468217113600. Its totient is φ = 9222154663680.

The previous prime is 30126625859989. The next prime is 30126625860029. The reversal of 30126625860006 is 60006852662103.

30126625860006 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 6 + 62 + 586 + 0 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×301266258600062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387596415 + ... + 387674133.

It is an arithmetic number, because the mean of its divisors is an integer number (566157946200).

Almost surely, 230126625860006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30126625860006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36234108556800).

30126625860006 is an abundant number, since it is smaller than the sum of its proper divisors (42341591253594).

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

30126625860006 is a wasteful number, since it uses less digits than its factorization.

30126625860006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80571 (or 80565 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30126625860006 in words is "thirty trillion, one hundred twenty-six billion, six hundred twenty-five million, eight hundred sixty thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1899 2617 2743 3798 5234 5486 5697 7851 8229 11394 15702 16458 23553 24687 34021 47106 49374 68042 70659 74061 77719 102063 141318 148122 155438 204126 233157 306189 466314 552187 612378 699471 918567 1010347 1104374 1398942 1656561 1837134 2020694 2098413 3031041 3313122 4196826 4969683 6062082 7178431 9093123 9939366 14356862 14909049 16398709 18186246 21535293 27279369 29818098 32797418 43070586 49196127 54558738 64605879 98392254 129211758 147588381 193817637 203390623 213183217 295176762 387635274 406781246 426366434 442765143 610171869 639549651 885530286 1220343738 1279099302 1830515607 1918648953 2644078099 3661031214 3837297906 5288156198 5491546821 5755946859 7932234297 10983093642 11511893718 15864468594 23796702891 42915421453 47593405782 71390108673 85830842906 128746264359 142780217346 257492528718 386238793077 557900478889 772477586154 1115800957778 1158716379231 1673701436667 2317432758462 3347402873334 5021104310001 10042208620002 15063312930003 30126625860006