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66212556448560 = 24351716228567757
BaseRepresentation
bin11110000111000010011111…
…11010000010001100110000
322200102212011220101102122020
433003201033322002030300
532134311303422323220
6352453343431511440
716642461605440434
oct1703411772021460
9280385156342566
1066212556448560
111a108650a59375
12751452b228580
132ac3a8174c672
14124c9c20b29c4
1579c5194e9040
hex3c384fe82330

66212556448560 has 80 divisors (see below), whose sum is σ = 217332979415136. Its totient is φ = 16618053382144.

The previous prime is 66212556448501. The next prime is 66212556448561. The reversal of 66212556448560 is 6584465521266.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66212556448494 and 66212556448503.

It is not an unprimeable number, because it can be changed into a prime (66212556448561) 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, 8114279799 + ... + 8114287958.

Almost surely, 266212556448560 is an apocalyptic number.

66212556448560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66212556448560 is an abundant number, since it is smaller than the sum of its proper divisors (151120422966576).

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

66212556448560 is a wasteful number, since it uses less digits than its factorization.

66212556448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16228567790 (or 16228567784 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 66212556448560 in words is "sixty-six trillion, two hundred twelve billion, five hundred fifty-six million, four hundred forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 16228567757 32457135514 48685703271 64914271028 81142838785 97371406542 129828542056 162285677570 194742813084 243428516355 259657084112 275885651869 324571355140 389485626168 486857032710 551771303738 649142710280 778971252336 827656955607 973714065420 1103542607476 1298285420560 1379428259345 1655313911214 1947428130840 2207085214952 2758856518690 3310627822428 3894856261680 4138284778035 4414170429904 5517713037380 6621255644856 8276569556070 11035426074760 13242511289712 16553139112140 22070852149520 33106278224280 66212556448560