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640103452989120 = 2632519314996771117
BaseRepresentation
bin1001000110001010111011001…
…0111011110101011011000000
310002221102021220012212112212100
42101202232302323311123000
51132344423332431122440
610145215244453230400
7251553643166244111
oct22142566273653300
93087367805775770
10640103452989120
11175a58393827a2a
125b960407332400
132162265c0a0743
14b40d25b20a208
154e0085e347230
hex2462bb2ef56c0

640103452989120 has 1344 divisors, whose sum is σ = 2402812039680000. Its totient is φ = 155809958952960.

The previous prime is 640103452989113. The next prime is 640103452989131. The reversal of 640103452989120 is 21989254301046.

It is a happy number.

640103452989120 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 0 + 3 + 4 + 529 + 8 + 91 + 20 = 666.

640103452989120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 573055910802 + ... + 573055911918.

Almost surely, 2640103452989120 is an apocalyptic number.

640103452989120 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 640103452989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201406019840000).

640103452989120 is an abundant number, since it is smaller than the sum of its proper divisors (1762708586690880).

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

640103452989120 is a wasteful number, since it uses less digits than its factorization.

640103452989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 640103452989120 in words is "six hundred forty trillion, one hundred three billion, four hundred fifty-two million, nine hundred eighty-nine thousand, one hundred twenty".