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643457754346 = 2111723434737013
BaseRepresentation
bin10010101110100010001…
…00100010010011101010
32021111212200021201020111
421113101010202103222
541020300141114341
61211333404444534
764326324445201
oct11272104422352
92244780251214
10643457754346
11228986144660
12a485884974a
13488a71a7654
1423201b74238
1511b101b9681
hex95d11224ea

643457754346 has 128 divisors (see below), whose sum is σ = 1215755329536. Its totient is φ = 251705287680.

The previous prime is 643457754341. The next prime is 643457754371.

It is a happy number.

643457754346 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (643457754341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17366136 + ... + 17403148.

It is an arithmetic number, because the mean of its divisors is an integer number (9498088512).

Almost surely, 2643457754346 is an apocalyptic number.

643457754346 is a deficient number, since it is larger than the sum of its proper divisors (572297575190).

643457754346 is a wasteful number, since it uses less digits than its factorization.

643457754346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37156.

The product of its digits is 101606400, while the sum is 58.

The spelling of 643457754346 in words is "six hundred forty-three billion, four hundred fifty-seven million, seven hundred fifty-four thousand, three hundred forty-six".

Divisors: 1 2 11 17 22 23 34 43 46 47 86 94 187 253 374 391 473 506 517 731 782 799 946 989 1034 1081 1462 1598 1978 2021 2162 4042 4301 8041 8602 8789 10879 11891 16082 16813 17578 18377 21758 22231 23782 33626 34357 36754 37013 44462 46483 68714 74026 92966 184943 202147 369886 377927 404294 407143 511313 629221 755854 790211 814286 851299 1022626 1258442 1580422 1591559 1702598 1739611 3183118 3479222 6921431 8692321 9364289 13842862 14472083 17384642 17507149 18728578 19135721 27056503 28944166 29573387 35014298 36605857 38271442 40011053 54113006 59146774 73211714 74803273 80022106 149606546 159192913 297621533 318385826 325307257 402664427 440121583 595243066 622299569 650614514 680187901 805328854 822836003 880243166 1244599138 1271655641 1360375802 1645672006 1720475279 2543311282 3440950558 6845295259 7482066911 13690590518 13988212051 14964133822 18925228069 27976424102 29248079743 37850456138 58496159486 321728877173 643457754346