Search a number
-
+
4269315427696 = 2411219313370813
BaseRepresentation
bin111110001000000111000…
…001111000110101110000
3120010010211221011221122101
4332020013001320311300
51024422024222141241
613025144010150144
7620306421242134
oct76100701706560
916103757157571
104269315427696
1113a6674292600
1258b509122354
1324c796795087
1410a8c91573c4
15760c48b8e31
hex3e207078d70

4269315427696 has 120 divisors (see below), whose sum is σ = 9601279246160. Its totient is φ = 1832582568960.

The previous prime is 4269315427691. The next prime is 4269315427703. The reversal of 4269315427696 is 6967245139624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4269315427691) 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 23 ways as a sum of consecutive naturals, for example, 11327986 + ... + 11698798.

Almost surely, 24269315427696 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 4269315427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800639623080).

4269315427696 is an abundant number, since it is smaller than the sum of its proper divisors (5331963818464).

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

4269315427696 is a wasteful number, since it uses less digits than its factorization.

4269315427696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371175 (or 371158 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 64.

The spelling of 4269315427696 in words is "four trillion, two hundred sixty-nine billion, three hundred fifteen million, four hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 313 418 484 626 836 968 1252 1672 1936 2299 2504 3344 3443 4598 5008 5947 6886 9196 11894 13772 18392 23788 27544 36784 37873 47576 55088 65417 75746 95152 130834 151492 261668 302984 370813 523336 605968 719587 741626 1046672 1439174 1483252 2878348 2966504 4078943 5756696 5933008 7045447 8157886 11513392 14090894 16315772 28181788 32631544 44868373 56363576 65263088 77499917 89736746 112727152 116064469 154999834 179473492 232128938 309999668 358946984 464257876 619999336 717893968 852499087 928515752 1239998672 1276709159 1704998174 1857031504 2205224911 2553418318 3409996348 4410449822 5106836636 6819992696 8820899644 10213673272 13639985392 14043800749 17641799288 20427346544 24257474021 28087601498 35283598576 48514948042 56175202996 97029896084 112350405992 194059792168 224700811984 266832214231 388119584336 533664428462 1067328856924 2134657713848 4269315427696