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620106145920 = 27325107657317
BaseRepresentation
bin10010000011000010011…
…01001110000010000000
32012021121021010002120100
421001201031032002000
540124434133132140
61152512310442400
762541544162152
oct11014115160200
92167537102510
10620106145920
11219a92831618
12a0220363400
134662531b181
14220286baad2
15111e50a4530
hex906134e080

620106145920 has 96 divisors (see below), whose sum is σ = 2141304055020. Its totient is φ = 165361637376.

The previous prime is 620106145913. The next prime is 620106145961. The reversal of 620106145920 is 29541601026.

620106145920 is a `hidden beast` number, since 6 + 2 + 0 + 1 + 0 + 61 + 4 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 620099551296 + 6594624 = 787464^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 53822899 + ... + 53834418.

Almost surely, 2620106145920 is an apocalyptic number.

620106145920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

620106145920 is an abundant number, since it is smaller than the sum of its proper divisors (1521197909100).

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

620106145920 is a wasteful number, since it uses less digits than its factorization.

620106145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107657342 (or 107657327 counting only the distinct ones).

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

Adding to 620106145920 its reverse (29541601026), we get a palindrome (649647746946).

The spelling of 620106145920 in words is "six hundred twenty billion, one hundred six million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 107657317 215314634 322971951 430629268 538286585 645943902 861258536 968915853 1076573170 1291887804 1614859755 1722517072 1937831706 2153146340 2583775608 3229719510 3445034144 3875663412 4306292680 4844579265 5167551216 6459439020 6890068288 7751326824 8612585360 9689158530 10335102432 12918878040 13780136576 15502653648 17225170720 19378317060 20670204864 25837756080 31005307296 34450341440 38756634120 41340409728 51675512160 62010614592 68900682880 77513268240 103351024320 124021229184 155026536480 206702048640 310053072960 620106145920