Search a number
-
+
4001996333808 = 2432114096177293
BaseRepresentation
bin111010001111001001100…
…100011110001011110000
3112011120212000010222002100
4322033021210132023300
51011032042030140213
612302254114220400
7562064125365234
oct72171144361360
915146760128070
104001996333808
111303267664820
12547744584700
1323050458b145
14db9aa5225c4
156e17b396773
hex3a3c991e2f0

4001996333808 has 120 divisors (see below), whose sum is σ = 12248091451440. Its totient is φ = 1209760865280.

The previous prime is 4001996333807. The next prime is 4001996333891. The reversal of 4001996333808 is 8083336991004.

4001996333808 is a `hidden beast` number, since 40 + 0 + 199 + 6 + 33 + 380 + 8 = 666.

4001996333808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001996333807) 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, 2440791 + ... + 3736502.

It is an arithmetic number, because the mean of its divisors is an integer number (102067428762).

Almost surely, 24001996333808 is an apocalyptic number.

4001996333808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4001996333808 is an abundant number, since it is smaller than the sum of its proper divisors (8246095117632).

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

4001996333808 is a wasteful number, since it uses less digits than its factorization.

4001996333808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177727 (or 6177718 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4001996333808 in words is "four trillion, one billion, nine hundred ninety-six million, three hundred thirty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 409 528 792 818 1227 1584 1636 2454 3272 3681 4499 4908 6544 7362 8998 9816 13497 14724 17996 19632 26994 29448 35992 40491 53988 58896 71984 80982 107976 161964 215952 323928 647856 6177293 12354586 18531879 24709172 37063758 49418344 55595637 67950223 74127516 98836688 111191274 135900446 148255032 203850669 222382548 271800892 296510064 407701338 444765096 543601784 611552007 815402676 889530192 1087203568 1223104014 1630805352 2446208028 2526512837 3261610704 4892416056 5053025674 7579538511 9784832112 10106051348 15159077022 20212102696 22738615533 27791641207 30318154044 40424205392 45477231066 55583282414 60636308088 83374923621 90954462132 111166564828 121272616176 166749847242 181908924264 222333129656 250124770863 333499694484 363817848528 444666259312 500249541726 666999388968 1000499083452 1333998777936 2000998166904 4001996333808