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640352354521664 = 26477110392885807
BaseRepresentation
bin1001000110011001011010011…
…0100111110101001001000000
310002222022002100121000110220202
42101212112212213311021000
51132413013110224143124
610145525451025024332
7251610634203332621
oct22146264647651100
93088262317013822
10640352354521664
111760439aa1a3334
125b9a06aba850a8
132163cc776c7395
14b41b30db9ba48
154e0707a9ce5ae
hex24665a69f5240

640352354521664 has 112 divisors (see below), whose sum is σ = 1317280391331840. Its totient is φ = 308652881349120.

The previous prime is 640352354521657. The next prime is 640352354521667. The reversal of 640352354521664 is 466125453253046.

It is a super-2 number, since 2×6403523545216642 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (640352354521667) 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, 220454249 + ... + 223340055.

Almost surely, 2640352354521664 is an apocalyptic number.

640352354521664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640352354521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658640195665920).

640352354521664 is an abundant number, since it is smaller than the sum of its proper divisors (676928036810176).

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

640352354521664 is a wasteful number, since it uses less digits than its factorization.

640352354521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886976 (or 2886966 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 56.

The spelling of 640352354521664 in words is "six hundred forty trillion, three hundred fifty-two billion, three hundred fifty-four million, five hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 71 94 142 188 284 376 568 752 1039 1136 1504 2078 2272 3008 3337 4156 4544 6674 8312 13348 16624 26696 33248 48833 53392 66496 73769 97666 106784 147538 195332 213568 295076 390664 590152 781328 1180304 1562656 2360608 2885807 3125312 3467143 4721216 5771614 6934286 11543228 13868572 23086456 27737144 46172912 55474288 92345824 110948576 135632929 184691648 204892297 221897152 271265858 409784594 542531716 819569188 1085063432 1639138376 2170126864 2998353473 3278276752 4340253728 5996706946 6556553504 8680507456 9629937959 11993413892 13113107008 19259875918 23986827784 38519751836 47973655568 77039503672 95947311136 140922613231 154079007344 191894622272 212883096583 281845226462 308158014688 425766193166 563690452924 616316029376 851532386332 1127380905848 1703064772664 2254761811696 3406129545328 4509523623392 6812259090656 9019047246784 10005505539401 13624518181312 20011011078802 40022022157604 80044044315208 160088088630416 320176177260832 640352354521664