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640374012000 = 253653219607
BaseRepresentation
bin10010101000110010100…
…00111111100001100000
32021012220202200101000000
421110121100333201200
540442441221341000
61210103405300000
764160031201552
oct11243120774140
92235822611000
10640374012000
11227643487368
12a4137b64600
1348505352538
1422dcc3ad4d2
15119ce5d3000
hex951943f860

640374012000 has 336 divisors, whose sum is σ = 2359030014432. Its totient is φ = 170765625600.

The previous prime is 640374011933. The next prime is 640374012001. The reversal of 640374012000 is 210473046.

640374012000 is a `hidden beast` number, since 640 + 3 + 7 + 4 + 0 + 12 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6403740120002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640374012001) 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 55 ways as a sum of consecutive naturals, for example, 2806197 + ... + 3025803.

It is an arithmetic number, because the mean of its divisors is an integer number (7020922662).

Almost surely, 2640374012000 is an apocalyptic number.

640374012000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640374012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179515007216).

640374012000 is an abundant number, since it is smaller than the sum of its proper divisors (1718656002432).

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

640374012000 is an equidigital number, since it uses as much as digits as its factorization.

640374012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219650 (or 219617 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 640374012000 its reverse (210473046), we get a palindrome (640584485046).

The spelling of 640374012000 in words is "six hundred forty billion, three hundred seventy-four million, twelve thousand".