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640103200353 = 33617149925633
BaseRepresentation
bin10010101000010010001…
…11111011011001100001
32021012012220002201021000
421110021013323121201
540441412404402403
61210020453022213
764150232300331
oct11241107733141
92235186081230
10640103200353
11227514629591
12a4081324969
1348491204166
1422da44370c1
15119b593c7a3
hex95091fb661

640103200353 has 32 divisors (see below), whose sum is σ = 950508720000. Its totient is φ = 425743008768.

The previous prime is 640103200351. The next prime is 640103200369. The reversal of 640103200353 is 353002301046.

It is a happy number.

640103200353 is a `hidden beast` number, since 6 + 4 + 0 + 103 + 200 + 353 = 666.

It is not a de Polignac number, because 640103200353 - 21 = 640103200351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (640103200351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24959025 + ... + 24984657.

It is an arithmetic number, because the mean of its divisors is an integer number (29703397500).

Almost surely, 2640103200353 is an apocalyptic number.

It is an amenable number.

640103200353 is a deficient number, since it is larger than the sum of its proper divisors (310405519647).

640103200353 is a wasteful number, since it uses less digits than its factorization.

640103200353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27758 (or 27752 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 640103200353 its reverse (353002301046), we get a palindrome (993105501399).

It can be divided in two parts, 640103 and 200353, that added together give a triangular number (840456 = T1296).

The spelling of 640103200353 in words is "six hundred forty billion, one hundred three million, two hundred thousand, three hundred fifty-three".

Divisors: 1 3 9 27 617 1499 1851 4497 5553 13491 16659 25633 40473 76899 230697 692091 924883 2774649 8323947 15815561 24971841 38423867 47446683 115271601 142340049 345814803 427020147 1037444409 23707525939 71122577817 213367733451 640103200353