Search a number
-
+
2006348055750 = 23353595037911
BaseRepresentation
bin11101001100100011101…
…010011100010011000110
321002210201211211111101000
4131030203222130103012
5230333000100241000
64133411545514130
7264645114042153
oct35144352342306
97083654744330
102006348055750
11703984199055
12284a15aa2946
1311727578538c
146d1719c122a
15372ca468000
hex1d323a9c4c6

2006348055750 has 128 divisors (see below), whose sum is σ = 5658582758400. Its totient is φ = 525957804000.

The previous prime is 2006348055707. The next prime is 2006348055769. The reversal of 2006348055750 is 575508436002.

2006348055750 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 3 + 48 + 0 + 557 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2006348055696 and 2006348055705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2120706 + ... + 2917205.

It is an arithmetic number, because the mean of its divisors is an integer number (44207677800).

Almost surely, 22006348055750 is an apocalyptic number.

2006348055750 is an abundant number, since it is smaller than the sum of its proper divisors (3652234702650).

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

2006348055750 is a wasteful number, since it uses less digits than its factorization.

2006348055750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037996 (or 5037980 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2006348055750 in words is "two trillion, six billion, three hundred forty-eight million, fifty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 90 118 125 135 150 177 225 250 270 295 354 375 450 531 590 675 750 885 1062 1125 1350 1475 1593 1770 2250 2655 2950 3186 3375 4425 5310 6750 7375 7965 8850 13275 14750 15930 22125 26550 39825 44250 66375 79650 132750 199125 398250 5037911 10075822 15113733 25189555 30227466 45341199 50379110 75568665 90682398 125947775 136023597 151137330 226705995 251895550 272047194 297236749 377843325 453411990 594473498 629738875 680117985 755686650 891710247 1133529975 1259477750 1360235970 1486183745 1783420494 1889216625 2267059950 2675130741 2972367490 3400589925 3778433250 4458551235 5350261482 5667649875 6801179850 7430918725 8025392223 8917102470 11335299750 13375653705 14861837450 16050784446 17002949625 22292756175 26751307410 34005899250 37154593625 40126961115 44585512350 66878268525 74309187250 80253922230 111463780875 133756537050 200634805575 222927561750 334391342625 401269611150 668782685250 1003174027875 2006348055750