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66606384416 = 25111364322637
BaseRepresentation
bin111110000010000011…
…001100010100100000
320100220220122220110112
4332002003030110200
52042402213300131
650333141550452
74545365632445
oct760203142440
9210826586415
1066606384416
112627a6274a0
1210aaa415428
1363863487b0
14331c02b9cc
151aec71a02b
hexf820cc520

66606384416 has 96 divisors (see below), whose sum is σ = 154302781248. Its totient is φ = 27902039040.

The previous prime is 66606384409. The next prime is 66606384419. The reversal of 66606384416 is 61448360666.

It is a super-2 number, since 2×666063844162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66606384419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2931050 + ... + 2953686.

It is an arithmetic number, because the mean of its divisors is an integer number (1607320638).

Almost surely, 266606384416 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 66606384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77151390624).

66606384416 is an abundant number, since it is smaller than the sum of its proper divisors (87696396832).

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

66606384416 is a wasteful number, since it uses less digits than its factorization.

66606384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23314 (or 23306 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 66606384416 in words is "sixty-six billion, six hundred six million, three hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 643 1144 1286 2288 2572 4576 5144 7073 8359 10288 14146 16718 20576 22637 28292 33436 45274 56584 66872 90548 91949 113168 133744 181096 183898 226336 249007 267488 294281 362192 367796 498014 588562 724384 735592 996028 1177124 1471184 1992056 2354248 2942368 3237091 3984112 4708496 6474182 7968224 9416992 12948364 14555591 25896728 29111182 51793456 58222364 103586912 116444728 160111501 189222683 232889456 320223002 378445366 465778912 640446004 756890732 1280892008 1513781464 2081449513 2561784016 3027562928 4162899026 5123568032 6055125856 8325798052 16651596104 33303192208 66606384416