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4255160002560 = 21132546171441
BaseRepresentation
bin111101111010111011010…
…011001110100000000000
3120001210022102020211212100
4331322323103032200000
51024204031430040220
613014443222230400
7616265555150115
oct75727323164000
916053272224770
104255160002560
1113a066a987145
12588818585400
1324b34bc07b7c
14109d4518290c
1575a46cd3d90
hex3debb4ce800

4255160002560 has 144 divisors (see below), whose sum is σ = 14747620289220. Its totient is φ = 1134709309440.

The previous prime is 4255160002543. The next prime is 4255160002567. The reversal of 4255160002560 is 652000615524.

4255160002560 is a `hidden beast` number, since 4 + 25 + 5 + 1 + 600 + 0 + 25 + 6 + 0 = 666.

4255160002560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3984526992384 + 270633010176 = 1996128^2 + 520224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4255160002567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22993561 + ... + 23177880.

Almost surely, 24255160002560 is an apocalyptic number.

4255160002560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4255160002560 is an abundant number, since it is smaller than the sum of its proper divisors (10492460286660).

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

4255160002560 is a wasteful number, since it uses less digits than its factorization.

4255160002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46171474 (or 46171451 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 4255160002560 in words is "four trillion, two hundred fifty-five billion, one hundred sixty million, two thousand, five hundred sixty".

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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 46171441 92342882 138514323 184685764 230857205 277028646 369371528 415542969 461714410 554057292 692571615 738743056 831085938 923428820 1108114584 1385143230 1477486112 1662171876 1846857640 2077714845 2216229168 2770286460 2954972224 3324343752 3693715280 4155429690 4432458336 5540572920 5909944448 6648687504 7387430560 8310859380 8864916672 11081145840 11819888896 13297375008 14774861120 16621718760 17729833344 22162291680 23639777792 26594750016 29549722240 33243437520 35459666688 44324583360 47279555584 53189500032 59099444480 66486875040 70919333376 88649166720 94559111168 106379000064 118198888960 132973750080 141838666752 177298333440 212758000128 236397777920 265947500160 283677333504 354596666880 425516000256 472795555840 531895000320 709193333760 851032000512 1063790000640 1418386667520 2127580001280 4255160002560