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668530978128 = 243213421848269
BaseRepresentation
bin10011011101001111000…
…11010010110101010000
32100220121001222110012100
421232213203102311100
541423122412300003
61231041403000400
766204551361036
oct11564743226520
92326531873170
10668530978128
11238582343802
12a9695809100
134b07193ab40
14244ddb3c556
15125cb502ba3
hex9ba78d2d50

668530978128 has 120 divisors (see below), whose sum is σ = 2019666401480. Its totient is φ = 205212994560.

The previous prime is 668530978109. The next prime is 668530978139. The reversal of 668530978128 is 821879035866.

668530978128 is a `hidden beast` number, since 6 + 6 + 8 + 530 + 9 + 78 + 1 + 28 = 666.

668530978128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 538611264 + 667992366864 = 23208^2 + 817308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363978 + ... + 1212246.

Almost surely, 2668530978128 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 668530978128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009833200740).

668530978128 is an abundant number, since it is smaller than the sum of its proper divisors (1351135423352).

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

668530978128 is a wasteful number, since it uses less digits than its factorization.

668530978128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848717 (or 848708 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 668530978128 in words is "six hundred sixty-eight billion, five hundred thirty million, nine hundred seventy-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 421 468 624 842 936 1263 1684 1872 2526 3368 3789 5052 5473 6736 7578 10104 10946 15156 16419 20208 21892 30312 32838 43784 49257 60624 65676 87568 98514 131352 197028 262704 394056 788112 848269 1696538 2544807 3393076 5089614 6786152 7634421 10179228 11027497 13572304 15268842 20358456 22054994 30537684 33082491 40716912 44109988 61075368 66164982 88219976 99247473 122150736 132329964 176439952 198494946 264659928 357121249 396989892 529319856 714242498 793979784 1071363747 1428484996 1587959568 2142727494 2856969992 3214091241 4285454988 4642576237 5713939984 6428182482 8570909976 9285152474 12856364964 13927728711 17141819952 18570304948 25712729928 27855457422 37140609896 41783186133 51425459856 55710914844 74281219792 83566372266 111421829688 167132744532 222843659376 334265489064 668530978128