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66346650356 = 227232292811601
BaseRepresentation
bin111101110010100100…
…011000101011110100
320100020210221001022112
4331302210120223310
52041334220302411
650251302550152
74536063136340
oct756244305364
9210223831275
1066346650356
1126156a55448
1210a37438358
1363445a85bc
1432d573a620
151ad4a11b8b
hexf72918af4

66346650356 has 96 divisors (see below), whose sum is σ = 139649287680. Its totient is φ = 26966016000.

The previous prime is 66346650269. The next prime is 66346650473. The reversal of 66346650356 is 65305664366.

It is a super-2 number, since 2×663466503562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41439956 + ... + 41441556.

It is an arithmetic number, because the mean of its divisors is an integer number (1454680080).

Almost surely, 266346650356 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 66346650356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69824643840).

66346650356 is an abundant number, since it is smaller than the sum of its proper divisors (73302637324).

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

66346650356 is a wasteful number, since it uses less digits than its factorization.

66346650356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 50.

The spelling of 66346650356 in words is "sixty-six billion, three hundred forty-six million, six hundred fifty thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 229 281 322 458 562 644 916 1124 1601 1603 1967 3202 3206 3934 5267 6404 6412 6463 7868 10534 11207 12926 21068 22414 25852 36823 36869 44828 45241 64349 73646 73738 90482 128698 147292 147476 180964 257396 257761 366629 449881 450443 515522 733258 899762 900886 1031044 1466516 1480027 1799524 1801772 2566403 2960054 3149167 5132806 5920108 6298334 8432467 10265612 10347263 10360189 12596668 16864934 20694526 20720378 33729868 41389052 41440756 59027269 72430841 103022749 118054538 144861682 206045498 236109076 289723364 412090996 721159243 1442318486 2369523227 2884636972 4739046454 9478092908 16586662589 33173325178 66346650356