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640964949669 = 3211219313313019
BaseRepresentation
bin10010101001111000111…
…11001111011010100101
32021021102221122010002100
421110330133033122211
541000144011342134
61210242155202313
764210465115112
oct11247437173245
92237387563070
10640964949669
11227917005600
12a4281a46399
134859a8c72b5
1423046a77909
1511a16410999
hex953c7cf6a5

640964949669 has 144 divisors (see below), whose sum is σ = 1109481318400. Its totient is φ = 354953016000.

The previous prime is 640964949661. The next prime is 640964949679. The reversal of 640964949669 is 966949469046.

640964949669 is a `hidden beast` number, since 6 + 4 + 0 + 96 + 49 + 496 + 6 + 9 = 666.

It is not a de Polignac number, because 640964949669 - 23 = 640964949661 is a prime.

It is a super-2 number, since 2×6409649496692 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640964949597 and 640964949606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640964949661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212308842 + ... + 212311860.

Almost surely, 2640964949669 is an apocalyptic number.

It is an amenable number.

640964949669 is a deficient number, since it is larger than the sum of its proper divisors (468516368731).

640964949669 is a wasteful number, since it uses less digits than its factorization.

640964949669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 640964949669 in words is "six hundred forty billion, nine hundred sixty-four million, nine hundred forty-nine thousand, six hundred sixty-nine".

Divisors: 1 3 9 11 19 31 33 57 93 99 121 171 209 279 331 341 363 589 627 993 1023 1089 1767 1881 2299 2979 3019 3069 3641 3751 5301 6289 6479 6897 9057 10261 10923 11253 18867 19437 20691 27171 30783 32769 33209 33759 40051 56601 57361 58311 69179 71269 92349 93589 99627 112871 120153 172083 194959 207537 213807 280767 298881 338613 360459 365299 516249 584877 622611 630971 641421 760969 842301 999289 1015839 1029479 1095897 1241581 1754631 1778191 1892913 2144549 2282907 2997867 3088437 3287691 3724743 5334573 5678739 6433647 6848721 6940681 8993601 9265311 10992179 11174229 11324269 16003719 18986491 19300941 19560101 20822043 23590039 30977959 32976537 33972807 56959473 58680303 62466129 70770117 92933877 98929611 101918421 120913969 170878419 176040909 208851401 212310351 215161111 278801631 340757549 362741907 588581221 626554203 645483333 1022272647 1088225721 1765743663 1879662609 1936449999 2297365411 3066817941 3748333039 5297230989 6474393431 6892096233 11244999117 19423180293 20676288699 33734997351 58269540879 71218327741 213654983223 640964949669