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66620603301344 = 25197311811270961
BaseRepresentation
bin11110010010111010100010…
…11001001111110111100000
322201212212102101112021110122
433021131101121033313200
532213002443421120334
6353405025504015412
720014115440450601
oct1711352131176740
9281785371467418
1066620603301344
111a25570384a324
12757b629301568
132b233b0226851
141264650c57da8
157a7e4c59532e
hex3c975164fde0

66620603301344 has 96 divisors (see below), whose sum is σ = 140072315312160. Its totient is φ = 31098459340800.

The previous prime is 66620603301313. The next prime is 66620603301367. The reversal of 66620603301344 is 44310330602666.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66620603301295 and 66620603301304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51782024 + ... + 53052984.

It is an arithmetic number, because the mean of its divisors is an integer number (1459086617835).

Almost surely, 266620603301344 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 66620603301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70036157656080).

66620603301344 is an abundant number, since it is smaller than the sum of its proper divisors (73451712010816).

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

66620603301344 is a wasteful number, since it uses less digits than its factorization.

66620603301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272244 (or 1272236 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 44.

The spelling of 66620603301344 in words is "sixty-six trillion, six hundred twenty billion, six hundred three million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 292 304 584 608 1168 1181 1387 2336 2362 2774 4724 5548 9448 11096 18896 22192 22439 37792 44384 44878 86213 89756 172426 179512 344852 359024 689704 718048 1270961 1379408 1638047 2541922 2758816 3276094 5083844 6552188 10167688 13104376 20335376 24148259 26208752 40670752 48296518 52417504 92780153 96593036 185560306 193186072 371120612 386372144 742241224 772744288 1484482448 1501004941 1762822907 2968964896 3002009882 3525645814 6004019764 7051291628 12008039528 14102583256 24016079056 28205166512 28519093879 48032158112 56410333024 57038187758 109573360693 114076375516 219146721386 228152751032 438293442772 456305502064 876586885544 912611004128 1753173771088 2081893853167 3506347542176 4163787706334 8327575412668 16655150825336 33310301650672 66620603301344