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1066435102032 = 243291151966509
BaseRepresentation
bin11111000010011000111…
…11000100010101010000
310202221122200210021200120
433201030133010111100
5114433024341231112
62133525153150240
7140022153542106
oct17411437042520
93687580707616
101066435102032
113812aa8a43a3
12152822b5b380
1379744ca33c1
1439889809c76
151cb18deae8c
hexf84c7c4550

1066435102032 has 80 divisors (see below), whose sum is σ = 2850246144000. Its totient is φ = 343185536512.

The previous prime is 1066435102001. The next prime is 1066435102037. The reversal of 1066435102032 is 2302015346601.

It is a super-2 number, since 2×10664351020322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066435101984 and 1066435102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066435102037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16001194 + ... + 16067702.

It is an arithmetic number, because the mean of its divisors is an integer number (35628076800).

Almost surely, 21066435102032 is an apocalyptic number.

1066435102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066435102032 is an abundant number, since it is smaller than the sum of its proper divisors (1783811041968).

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

1066435102032 is a wasteful number, since it uses less digits than its factorization.

1066435102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78068 (or 78062 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 1066435102032 in words is "one trillion, sixty-six billion, four hundred thirty-five million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 11519 23038 34557 46076 66509 69114 92152 133018 138228 184304 199527 266036 276456 334051 399054 532072 552912 668102 798108 1002153 1064144 1336204 1596216 1928761 2004306 2672408 3192432 3857522 4008612 5344816 5786283 7715044 8017224 11572566 15430088 16034448 23145132 30860176 46290264 92580528 766117171 1532234342 2298351513 3064468684 4596703026 6128937368 9193406052 12257874736 18386812104 22217397959 36773624208 44434795918 66652193877 88869591836 133304387754 177739183672 266608775508 355478367344 533217551016 1066435102032