Search a number
-
+
1995704876256 = 253721332635153
BaseRepresentation
bin11101000010101001010…
…001111011110011100000
321001210021002210221211220
4131002221101323303200
5230144200422020011
64124451505335040
7264120266361300
oct35025121736340
97053232727756
101995704876256
116aa412413843
12282945637480
1311626a761530
146c842275600
1536da5dad506
hex1d0a947bce0

1995704876256 has 144 divisors (see below), whose sum is σ = 6562798928784. Its totient is φ = 526339731456.

The previous prime is 1995704876233. The next prime is 1995704876257. The reversal of 1995704876256 is 6526784075991.

It is a super-2 number, since 2×19957048762562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995704876257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16256425 + ... + 16378728.

It is an arithmetic number, because the mean of its divisors is an integer number (45574992561).

Almost surely, 21995704876256 is an apocalyptic number.

1995704876256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1995704876256 is an abundant number, since it is smaller than the sum of its proper divisors (4567094052528).

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

1995704876256 is a wasteful number, since it uses less digits than its factorization.

1995704876256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32635193 (or 32635178 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 69.

The spelling of 1995704876256 in words is "one trillion, nine hundred ninety-five billion, seven hundred four million, eight hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 20384 30576 61152 32635153 65270306 97905459 130540612 195810918 228446071 261081224 391621836 424256989 456892142 522162448 685338213 783243672 848513978 913784284 1044324896 1272770967 1370676426 1566487344 1599122497 1697027956 1827568568 2545541934 2741352852 2969798923 3132974688 3198244994 3394055912 3655137136 4797367491 5091083868 5482705704 5939597846 6396489988 6788111824 7310274272 8909396769 9594734982 10182167736 10965411408 11879195692 12792979976 13576223648 17818793538 19189469964 20364335472 20788592461 21930822816 23758391384 25585959952 35637587076 38378939928 40728670944 41577184922 47516782768 51171919904 62365777383 71275174152 76757879856 83154369844 95033565536 124731554766 142550348304 153515759712 166308739688 249463109532 285100696608 332617479376 498926219064 665234958752 997852438128 1995704876256