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320764206464020 = 2251113217110313923
BaseRepresentation
bin100100011101110111011110…
…0100101010011110000010100
31120001201202111001200210211201
41020323232330211103300110
5314020400043323322040
63054113013035042244
7124364310026335504
oct11073567445236024
91501652431623751
10320764206464020
1193229377274960
122bb863038a0384
13109c9c1cc12917
14592d0db387a04
152713c2e459a9a
hex123bbbc953c14

320764206464020 has 48 divisors (see below), whose sum is σ = 734897241505728. Its totient is φ = 116632703452160.

The previous prime is 320764206463991. The next prime is 320764206464027. The reversal of 320764206464020 is 20464602467023.

It is a happy number.

It is a super-3 number, since 3×3207642064640203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320764206464027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52249222 + ... + 58064701.

It is an arithmetic number, because the mean of its divisors is an integer number (15310359198036).

Almost surely, 2320764206464020 is an apocalyptic number.

It is an amenable number.

320764206464020 is an abundant number, since it is smaller than the sum of its proper divisors (414133035041708).

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

320764206464020 is a wasteful number, since it uses less digits than its factorization.

320764206464020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110327160 (or 110327158 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 46.

The spelling of 320764206464020 in words is "three hundred twenty trillion, seven hundred sixty-four billion, two hundred six million, four hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 13217 26434 52868 66085 132170 145387 264340 290774 581548 726935 1453870 2907740 110313923 220627846 441255692 551569615 1103139230 1213453153 2206278460 2426906306 4853812612 6067265765 12134531530 24269063060 1458019120291 2916038240582 5832076481164 7290095601455 14580191202910 16038210323201 29160382405820 32076420646402 64152841292804 80191051616005 160382103232010 320764206464020