Search a number
-
+
3996452786768 = 2413232838833343
BaseRepresentation
bin111010001001111111001…
…001100001001001010000
3112011001112122222121011022
4322021333021201021100
51010434213403134033
612255540044535012
7561506553123431
oct72117711411120
915131478877138
103996452786768
111300982457892
12546657b51468
1322cb2cc3b2b0
14db6021b1488
156de54874098
hex3a27f261250

3996452786768 has 160 divisors (see below), whose sum is σ = 8744557645824. Its totient is φ = 1755569604096.

The previous prime is 3996452786747. The next prime is 3996452786789. The reversal of 3996452786768 is 8676872546993.

It is a Cunningham number, because it is equal to 19991132-1.

It is an interprime number because it is at equal distance from previous prime (3996452786747) and next prime (3996452786789).

It is a junction number, because it is equal to n+sod(n) for n = 3996452786692 and 3996452786701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195467305 + ... + 1195470647.

Almost surely, 23996452786768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996452786768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372278822912).

3996452786768 is an abundant number, since it is smaller than the sum of its proper divisors (4748104859056).

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

3996452786768 is a wasteful number, since it uses less digits than its factorization.

3996452786768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4547 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 80.

The spelling of 3996452786768 in words is "three trillion, nine hundred ninety-six billion, four hundred fifty-two million, seven hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 283 299 368 566 598 883 1132 1196 1766 2264 2392 3343 3532 3679 4528 4784 6509 6686 7064 7358 11479 13018 13372 14128 14716 20309 22958 26036 26744 29432 40618 43459 45916 52072 53488 58864 76889 81236 84617 86918 91832 104144 153778 162472 169234 173836 183664 249889 264017 307556 324944 338468 347672 499778 528034 615112 676936 695344 946069 999556 999557 1056068 1230224 1353872 1892138 1999112 1999114 2112136 2951869 3248557 3784276 3998224 3998228 4224272 5747447 5903738 6497114 7568552 7996456 11494894 11807476 12298897 12994228 15137104 15992912 21759587 22989788 23614952 24597794 25988456 38374297 43519174 45979576 47229904 49195588 51976912 67892987 74716811 76748594 87038348 91959152 98391176 135785974 149433622 153497188 174076696 196782352 271571948 282874631 298867244 306994376 348153392 543143896 565749262 597734488 613988752 835378927 882608831 1086287792 1131498524 1195468976 1670757854 1765217662 2262997048 3341515708 3530435324 4525994096 6683031416 7060870648 10859926051 13366062832 14121741296 19213715321 21719852102 38427430642 43439704204 76854861284 86879408408 153709722568 173758816816 249778299173 307419445136 499556598346 999113196692 1998226393384 3996452786768