Search a number
-
+
4447138047768 = 2333131583738621
BaseRepresentation
bin100000010110110111000…
…0101010110011100011000
3120202010211200211000011000
41000231232011112130120
51040330214320012033
613242553110105000
7636203140463613
oct100555605263430
916663750730130
104447138047768
111465025544a39
125b9a7564b160
13263495297b20
14115357ac317a
157aa30d72a13
hex40b6e156718

4447138047768 has 64 divisors (see below), whose sum is σ = 13303404424800. Its totient is φ = 1368350167680.

The previous prime is 4447138047763. The next prime is 4447138047787. The reversal of 4447138047768 is 8677408317444.

4447138047768 is a `hidden beast` number, since 4 + 4 + 4 + 71 + 38 + 0 + 477 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4447138047763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 791866503 + ... + 791872118.

Almost surely, 24447138047768 is an apocalyptic number.

It is an amenable number.

4447138047768 is an abundant number, since it is smaller than the sum of its proper divisors (8856266377032).

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

4447138047768 is a wasteful number, since it uses less digits than its factorization.

4447138047768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583738649 (or 1583738639 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 4447138047768 in words is "four trillion, four hundred forty-seven billion, one hundred thirty-eight million, forty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 1583738621 3167477242 4751215863 6334954484 9502431726 12669908968 14253647589 19004863452 20588602073 28507295178 38009726904 41177204146 42760942767 57014590356 61765806219 82354408292 85521885534 114029180712 123531612438 164708816584 171043771068 185297418657 247063224876 342087542136 370594837314 494126449752 555892255971 741189674628 1111784511942 1482379349256 2223569023884 4447138047768