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645117488008 = 23737596779997
BaseRepresentation
bin10010110001100111111…
…11111010101110001000
32021200011100100220210121
421120303333322232020
541032200034104013
61212210214353024
764415420112640
oct11306377725610
92250140326717
10645117488008
11229658005074
12a504065b774
1348aaccc6086
142331c377520
1511baac6758d
hex9633ffab88

645117488008 has 256 divisors, whose sum is σ = 1485407232000. Its totient is φ = 256944669696.

The previous prime is 645117488003. The next prime is 645117488011. The reversal of 645117488008 is 800884711546.

It is a super-3 number, since 3×6451174880083 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (645117488003) 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 63 ways as a sum of consecutive naturals, for example, 647058166 + ... + 647059162.

It is an arithmetic number, because the mean of its divisors is an integer number (5802372000).

Almost surely, 2645117488008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645117488008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742703616000).

645117488008 is an abundant number, since it is smaller than the sum of its proper divisors (840289743992).

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

645117488008 is a wasteful number, since it uses less digits than its factorization.

645117488008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 645117488008 in words is "six hundred forty-five billion, one hundred seventeen million, four hundred eighty-eight thousand, eight".