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1466631643568 = 2472131371050367
BaseRepresentation
bin10101010101111010000…
…011101110000110110000
312012012122002011222222112
4111111322003232012300
5143012130200043233
63041432234024452
7210650333164400
oct25257203560660
95165562158875
101466631643568
11515aa4367313
121b82abb78128
13a83c22577c0
1450db1b30800
152823cbb9048
hex1557a0ee1b0

1466631643568 has 120 divisors (see below), whose sum is σ = 3585792494592. Its totient is φ = 575970296832.

The previous prime is 1466631643567. The next prime is 1466631643571. The reversal of 1466631643568 is 8653461366641.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1466631643567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871121 + ... + 1921487.

Almost surely, 21466631643568 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 1466631643568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792896247296).

1466631643568 is an abundant number, since it is smaller than the sum of its proper divisors (2119160851024).

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

1466631643568 is a wasteful number, since it uses less digits than its factorization.

1466631643568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050539 (or 1050526 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 59.

The spelling of 1466631643568 in words is "one trillion, four hundred sixty-six billion, six hundred thirty-one million, six hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 137 182 196 208 274 364 392 548 637 728 784 959 1096 1274 1456 1781 1918 2192 2548 3562 3836 5096 6713 7124 7672 10192 12467 13426 14248 15344 24934 26852 28496 49868 53704 87269 99736 107408 174538 199472 349076 698152 1050367 1396304 2100734 4201468 7352569 8402936 13654771 14705138 16805872 27309542 29410276 51467983 54619084 58820552 95583397 102935966 109238168 117641104 143900279 191166794 205871932 218476336 287800558 382333588 411743864 575601116 669083779 764667176 823487728 1007301953 1151202232 1338167558 1529334352 1870703627 2014603906 2302404464 2676335116 3741407254 4029207812 5352670232 7051113671 7482814508 8058415624 10705340464 13094925389 14102227342 14965629016 16116831248 26189850778 28204454684 29931258032 52379701556 56408909368 91664477723 104759403112 112817818736 183328955446 209518806224 366657910892 733315821784 1466631643568