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655366401664 = 27132291719869
BaseRepresentation
bin10011000100101101110…
…00011010111010000000
32022122121121111200021021
421202112320122322000
541214142244323124
61221023212235224
765230406333452
oct11422670327200
92278547450237
10655366401664
11232a37280647
12a7020a6bb14
1349a54435620
1423a115b22d2
15120aa8e27e4
hex9896e1ae80

655366401664 has 64 divisors (see below), whose sum is σ = 1412185257000. Its totient is φ = 301155766272.

The previous prime is 655366401631. The next prime is 655366401689. The reversal of 655366401664 is 466104663556.

It can be written as a sum of positive squares in 4 ways, for example, as 643268161600 + 12098240064 = 802040^2 + 109992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 478879 + ... + 1240990.

Almost surely, 2655366401664 is an apocalyptic number.

655366401664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

655366401664 is an abundant number, since it is smaller than the sum of its proper divisors (756818855336).

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

655366401664 is a wasteful number, since it uses less digits than its factorization.

655366401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720125 (or 1720113 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 655366401664 in words is "six hundred fifty-five billion, three hundred sixty-six million, four hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 229 416 458 832 916 1664 1832 2977 3664 5954 7328 11908 14656 23816 29312 47632 95264 190528 381056 1719869 3439738 6879476 13758952 22358297 27517904 44716594 55035808 89433188 110071616 178866376 220143232 357732752 393850001 715465504 787700002 1430931008 1575400004 2861862016 3150800008 5120050013 6301600016 10240100026 12603200032 20480200052 25206400064 40960400104 50412800128 81920800208 163841600416 327683200832 655366401664