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66350540832 = 2531923595333
BaseRepresentation
bin111101110010110011…
…001110100000100000
320100021002020201001020
4331302303032200200
52041341214301312
650251522205440
74536141202002
oct756263164040
9210232221036
1066350540832
1126159172414
1210a387b3880
13634533b364
1432d6070372
151ad502e78c
hexf72cce820

66350540832 has 144 divisors (see below), whose sum is σ = 184366082880. Its totient is φ = 20890520064.

The previous prime is 66350540831. The next prime is 66350540843. The reversal of 66350540832 is 23804505366.

It is not an unprimeable number, because it can be changed into a prime (66350540831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12438838 + ... + 12444170.

It is an arithmetic number, because the mean of its divisors is an integer number (1280320020).

Almost surely, 266350540832 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 66350540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92183041440).

66350540832 is an abundant number, since it is smaller than the sum of its proper divisors (118015542048).

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

66350540832 is a wasteful number, since it uses less digits than its factorization.

66350540832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 66350540832 in words is "sixty-six billion, three hundred fifty million, five hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 359 361 456 608 718 722 912 1077 1083 1436 1444 1824 2154 2166 2872 2888 4308 4332 5333 5744 5776 6821 8616 8664 10666 11488 11552 13642 15999 17232 17328 20463 21332 27284 31998 34464 34656 40926 42664 54568 63996 81852 85328 101327 109136 127992 129599 163704 170656 202654 218272 255984 259198 303981 327408 388797 405308 511968 518396 607962 654816 777594 810616 1036792 1215924 1555188 1621232 1914547 1925213 2073584 2431848 3110376 3242464 3829094 3850426 4147168 4863696 5743641 5775639 6220752 7658188 7700852 9727392 11487282 11551278 12441504 15316376 15401704 22974564 23102556 30632752 30803408 36376393 45949128 46205112 61265504 61606816 72752786 91898256 92410224 109129179 145505572 183796512 184820448 218258358 291011144 436516716 582022288 691151467 873033432 1164044576 1382302934 1746066864 2073454401 2764605868 3492133728 4146908802 5529211736 8293817604 11058423472 16587635208 22116846944 33175270416 66350540832