Search a number
-
+
66135566112 = 2537118946911
BaseRepresentation
bin111101100101111111…
…001010011100100000
320022201002201212011120
4331211333022130200
52040421201103422
650214322412240
74530621015360
oct754577123440
9208632655146
1066135566112
1126058891760
1210998801080
13630c940095
1432b56b09a0
151ac121845c
hexf65fca720

66135566112 has 96 divisors (see below), whose sum is σ = 216443695104. Its totient is φ = 17178067200.

The previous prime is 66135566093. The next prime is 66135566113. The reversal of 66135566112 is 21166553166.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (66135566113) 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, 4466064 + ... + 4480847.

It is an arithmetic number, because the mean of its divisors is an integer number (2254621824).

Almost surely, 266135566112 is an apocalyptic number.

It is an amenable number.

66135566112 is an abundant number, since it is smaller than the sum of its proper divisors (150308128992).

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

66135566112 is a wasteful number, since it uses less digits than its factorization.

66135566112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946942 (or 8946934 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The spelling of 66135566112 in words is "sixty-six billion, one hundred thirty-five million, five hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 8946911 17893822 26840733 35787644 53681466 62628377 71575288 98416021 107362932 125256754 143150576 187885131 196832042 214725864 250513508 286301152 295248063 375770262 393664084 429451728 501027016 590496126 688912147 751540524 787328168 858903456 1002054032 1180992252 1377824294 1503081048 1574656336 2004108064 2066736441 2361984504 2755648588 3006162096 3149312672 4133472882 4723969008 5511297176 6012324192 8266945764 9447938016 11022594352 16533891528 22045188704 33067783056 66135566112