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66044696544 = 2534241105727
BaseRepresentation
bin111101100000100100…
…100001011111100000
320022110202202012120000
4331200210201133200
52040224420242134
650201315020000
74525435441461
oct754044413740
9208422665500
1066044696544
1126011567042
121097229a600
1362c6b753c8
1432a75b8d68
151ab8268e99
hexf609217e0

66044696544 has 120 divisors (see below), whose sum is σ = 195043419648. Its totient is φ = 21923343360.

The previous prime is 66044696539. The next prime is 66044696551. The reversal of 66044696544 is 44569644066.

66044696544 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 4 + 6 + 96 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 571809 + ... + 677535.

Almost surely, 266044696544 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 66044696544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97521709824).

66044696544 is an abundant number, since it is smaller than the sum of its proper divisors (128998723104).

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

66044696544 is a wasteful number, since it uses less digits than its factorization.

66044696544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105990 (or 105973 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 66044696544 in words is "sixty-six billion, forty-four million, six hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 241 288 324 432 482 648 723 864 964 1296 1446 1928 2169 2592 2892 3856 4338 5784 6507 7712 8676 11568 13014 17352 19521 23136 26028 34704 39042 52056 69408 78084 104112 105727 156168 208224 211454 312336 317181 422908 624672 634362 845816 951543 1268724 1691632 1903086 2537448 2854629 3383264 3806172 5074896 5709258 7612344 8563887 10149792 11418516 15224688 17127774 22837032 25480207 30449376 34255548 45674064 50960414 68511096 76440621 91348128 101920828 137022192 152881242 203841656 229321863 274044384 305762484 407683312 458643726 611524968 687965589 815366624 917287452 1223049936 1375931178 1834574904 2063896767 2446099872 2751862356 3669149808 4127793534 5503724712 7338299616 8255587068 11007449424 16511174136 22014898848 33022348272 66044696544