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66189141576 = 23344712231777
BaseRepresentation
bin111101101001001011…
…100010011001001000
320022211211112202220000
4331221023202121020
52041023410012301
650223515003000
74532141264145
oct755113423110
9208754482800
1066189141576
11260860547a8
12109b2739460
13631aa7aa3c
1432bc8593cc
151ac5c9c786
hexf692e2648

66189141576 has 160 divisors (see below), whose sum is σ = 189596816640. Its totient is φ = 21563822592.

The previous prime is 66189141547. The next prime is 66189141611. The reversal of 66189141576 is 67514198166.

66189141576 is a `hidden beast` number, since 6 + 61 + 8 + 9 + 1 + 4 + 1 + 576 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37246800 + ... + 37248576.

It is an arithmetic number, because the mean of its divisors is an integer number (1184980104).

Almost surely, 266189141576 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 66189141576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94798408320).

66189141576 is an abundant number, since it is smaller than the sum of its proper divisors (123407675064).

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

66189141576 is a wasteful number, since it uses less digits than its factorization.

66189141576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3052 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 66189141576 in words is "sixty-six billion, one hundred eighty-nine million, one hundred forty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1223 1269 1692 1777 2446 2538 3384 3554 3669 3807 4892 5076 5331 7108 7338 7614 9784 10152 10662 11007 14216 14676 15228 15993 21324 22014 29352 30456 31986 33021 42648 44028 47979 57481 63972 66042 83519 88056 95958 99063 114962 127944 132084 143937 167038 172443 191916 198126 229924 250557 264168 287874 334076 344886 383832 396252 459848 501114 517329 575748 668152 689772 751671 792504 1002228 1034658 1151496 1379544 1503342 1551987 2004456 2069316 2173271 2255013 3006684 3103974 4138632 4346542 4510026 4655961 6013368 6207948 6519813 6765039 8693084 9020052 9311922 12415896 13039626 13530078 17386168 18040104 18623844 19559439 26079252 27060156 37247688 39118878 52158504 54120312 58678317 78237756 102143737 117356634 156475512 176034951 204287474 234713268 306431211 352069902 408574948 469426536 612862422 704139804 817149896 919293633 1225724844 1408279608 1838587266 2451449688 2757880899 3677174532 5515761798 7354349064 8273642697 11031523596 16547285394 22063047192 33094570788 66189141576