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66242001200 = 24528311317657
BaseRepresentation
bin111101101100010101…
…001011100100110000
320022222112000022122212
4331230111023210300
52041130423014300
650233043551252
74533352501634
oct755425134460
9208875008585
1066242001200
1126102978a41
1210a0838b528
1363289c791b
1432c5898dc4
151aca73e935
hexf6c54b930

66242001200 has 120 divisors (see below), whose sum is σ = 162498380688. Its totient is φ = 25944432640.

The previous prime is 66242001149. The next prime is 66242001227. The reversal of 66242001200 is 210024266.

66242001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3742772 + ... + 3760428.

Almost surely, 266242001200 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 66242001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81249190344).

66242001200 is an abundant number, since it is smaller than the sum of its proper divisors (96256379488).

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

66242001200 is a wasteful number, since it uses less digits than its factorization.

66242001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17871 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 66242001200 its reverse (210024266), we get a palindrome (66452025466).

The spelling of 66242001200 in words is "sixty-six billion, two hundred forty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 113 166 200 226 332 400 415 452 565 664 830 904 1130 1328 1660 1808 2075 2260 2825 3320 4150 4520 5650 6640 8300 9040 9379 11300 16600 17657 18758 22600 33200 35314 37516 45200 46895 70628 75032 88285 93790 141256 150064 176570 187580 234475 282512 353140 375160 441425 468950 706280 750320 882850 937900 1412560 1465531 1765700 1875800 1995241 2931062 3531400 3751600 3990482 5862124 7062800 7327655 7980964 9976205 11724248 14655310 15961928 19952410 23448496 29310620 31923856 36638275 39904820 49881025 58621240 73276550 79809640 99762050 117242480 146553100 159619280 165605003 199524100 293106200 331210006 399048200 586212400 662420012 798096400 828025015 1324840024 1656050030 2649680048 3312100060 4140125075 6624200120 8280250150 13248400240 16560500300 33121000600 66242001200