Search a number
-
+
645621256566 = 2321113701357809
BaseRepresentation
bin10010110010100100000…
…01101001000101110110
32021201110110022000100100
421121102001221011312
541034213020202231
61212332212054530
764434045063636
oct11312201510566
92251413260310
10645621256566
11229896405920
12a5161304446
1348b6049a590
14233692306c6
1511bda0c71e6
hex9652069176

645621256566 has 96 divisors (see below), whose sum is σ = 1645748526240. Its totient is φ = 180335232000.

The previous prime is 645621256559. The next prime is 645621256601. The reversal of 645621256566 is 665652126546.

It is a happy number.

645621256566 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 2 + 12 + 565 + 66 = 666.

It is a super-2 number, since 2×6456212565662 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1625470 + ... + 1983278.

It is an arithmetic number, because the mean of its divisors is an integer number (17143213815).

Almost surely, 2645621256566 is an apocalyptic number.

645621256566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 645621256566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822874263120).

645621256566 is an abundant number, since it is smaller than the sum of its proper divisors (1000127269674).

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

645621256566 is a wasteful number, since it uses less digits than its factorization.

645621256566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358542 (or 358539 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 645621256566 in words is "six hundred forty-five billion, six hundred twenty-one million, two hundred fifty-six thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 701 858 1287 1402 2103 2574 4206 6309 7711 9113 12618 15422 18226 23133 27339 46266 54678 69399 82017 100243 138798 164034 200486 300729 357809 601458 715618 902187 1073427 1804374 2146854 3220281 3935899 4651517 6440562 7871798 9303034 11807697 13954551 23615394 27909102 35423091 41863653 51166687 70846182 83727306 102333374 153500061 250824109 307000122 460500183 501648218 752472327 921000366 1504944654 2257416981 2759065199 3260713417 4514833962 5518130398 6521426834 8277195597 9782140251 16554391194 19564280502 24831586791 29346420753 35867847587 49663173582 58692841506 71735695174 107603542761 215207085522 322810628283 645621256566