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640062590112 = 253311210359441
BaseRepresentation
bin10010101000001101011…
…01000000110010100000
32021012010001200111111000
421110012231000302200
540441322010340422
61210012442352000
764146230151201
oct11240655006240
92235101614430
10640062590112
112274a3711500
12a406b7bb600
134848598592a
1422d9cca55a8
15119b20b9cac
hex9506b40ca0

640062590112 has 288 divisors, whose sum is σ = 2071948394880. Its totient is φ = 192072038400.

The previous prime is 640062590087. The next prime is 640062590131. The reversal of 640062590112 is 211095260046.

640062590112 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 62 + 590 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10738312 + ... + 10797752.

It is an arithmetic number, because the mean of its divisors is an integer number (7194265260).

Almost surely, 2640062590112 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 640062590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035974197440).

640062590112 is an abundant number, since it is smaller than the sum of its proper divisors (1431885804768).

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

640062590112 is a wasteful number, since it uses less digits than its factorization.

640062590112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59585 (or 59560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 640062590112 in words is "six hundred forty billion, sixty-two million, five hundred ninety thousand, one hundred twelve".