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44068024016064 = 2633191342227827
BaseRepresentation
bin10100000010100011000101…
…11010101101110011000000
312210000212021100210202202000
422001101202322231303000
521234002303122003224
6233420323141024000
712165544500461316
oct1201214272556300
9183025240722660
1044068024016064
1113050164784834
124b388180b5000
131b7879b321879
14ac4c91c280b6
1551649cabb0c9
hex281462eadcc0

44068024016064 has 112 divisors (see below), whose sum is σ = 136370347324800. Its totient is φ = 13916218099968.

The previous prime is 44068024016011. The next prime is 44068024016101. The reversal of 44068024016064 is 46061042086044.

44068024016064 is a `hidden beast` number, since 4 + 406 + 8 + 0 + 24 + 0 + 160 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671081082 + ... + 671146745.

Almost surely, 244068024016064 is an apocalyptic number.

It is an amenable number.

44068024016064 is an abundant number, since it is smaller than the sum of its proper divisors (92302323308736).

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

44068024016064 is a wasteful number, since it uses less digits than its factorization.

44068024016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342227867 (or 1342227851 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 44068024016064 in words is "forty-four trillion, sixty-eight billion, twenty-four million, sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 1342227827 2684455654 4026683481 5368911308 8053366962 10737822616 12080050443 16106733924 21475645232 24160100886 25502328713 32213467848 36240151329 42951290464 48320201772 51004657426 64426935696 72480302658 76506986139 85902580928 96640403544 102009314852 128853871392 144960605316 153013972278 193280807088 204018629704 229520958417 257707742784 289921210632 306027944556 386561614176 408037259408 459041916834 579842421264 612055889112 688562875251 773123228352 816074518816 918083833668 1159684842528 1224111778224 1377125750502 1632149037632 1836167667336 2319369685056 2448223556448 2754251501004 3672335334672 4896447112896 5508503002008 7344670669344 11017006004016 14689341338688 22034012008032 44068024016064