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66945128112 = 243223154913049
BaseRepresentation
bin111110010110001111…
…011001011010110000
320101210112001212110100
4332112033121122300
52044100423044422
650430522232400
74556651125422
oct762617313260
9211715055410
1066945128112
1126433863665
1210b83955700
13640b590355
143351008812
151b1c32d7ac
hexf963d96b0

66945128112 has 120 divisors (see below), whose sum is σ = 195640380000. Its totient is φ = 21329409024.

The previous prime is 66945128059. The next prime is 66945128141. The reversal of 66945128112 is 21182154966.

66945128112 is a `hidden beast` number, since 6 + 69 + 451 + 28 + 112 = 666.

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, 5123764 + ... + 5136812.

It is an arithmetic number, because the mean of its divisors is an integer number (1630336500).

Almost surely, 266945128112 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 66945128112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97820190000).

66945128112 is an abundant number, since it is smaller than the sum of its proper divisors (128695251888).

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

66945128112 is a wasteful number, since it uses less digits than its factorization.

66945128112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14635 (or 14626 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 66945128112 in words is "sixty-six billion, nine hundred forty-five million, one hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1549 1656 3098 3312 4647 6196 9294 12392 13049 13941 18588 24784 26098 27882 35627 37176 39147 52196 55764 71254 74352 78294 104392 106881 111528 117441 142508 156588 208784 213762 223056 234882 285016 300127 313176 320643 427524 469764 570032 600254 626352 641286 855048 900381 939528 1200508 1282572 1710096 1800762 1879056 2401016 2565144 2701143 3601524 4802032 5130288 5402286 7203048 10804572 14406096 20212901 21609144 40425802 43218288 60638703 80851604 121277406 161703208 181916109 242554812 323406416 363832218 464896723 485109624 727664436 929793446 970219248 1394690169 1455328872 1859586892 2789380338 2910657744 3719173784 4184070507 5578760676 7438347568 8368141014 11157521352 16736282028 22315042704 33472564056 66945128112