Search a number
-
+
6121772263152 = 2432713467168213
BaseRepresentation
bin101100100010101011000…
…0011111010011011110000
3210200020100211112110101200
41121011112003322123300
51300244342144410102
621004145305131200
71201166136446430
oct131052603723360
923606324473350
106121772263152
111a50257937067
1282a535189b00
13355385775390
1417241c66c2c0
15a939481851c
hex591560fa6f0

6121772263152 has 120 divisors (see below), whose sum is σ = 21086104507104. Its totient is φ = 1614533340672.

The previous prime is 6121772263151. The next prime is 6121772263153. The reversal of 6121772263152 is 2513622771216.

6121772263152 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 7 + 7 + 2 + 2 + 631 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6121772263151) and next prime (6121772263153).

It is a junction number, because it is equal to n+sod(n) for n = 6121772263098 and 6121772263107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121772263151) 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, 233571003 + ... + 233597210.

Almost surely, 26121772263152 is an apocalyptic number.

It is an amenable number.

6121772263152 is an abundant number, since it is smaller than the sum of its proper divisors (14964332243952).

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

6121772263152 is a wasteful number, since it uses less digits than its factorization.

6121772263152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467168247 (or 467168238 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 6121772263152 in words is "six trillion, one hundred twenty-one billion, seven hundred seventy-two million, two hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 467168213 934336426 1401504639 1868672852 2803009278 3270177491 3737345704 4204513917 5606018556 6073186769 6540354982 7474691408 8409027834 9810532473 11212037112 12146373538 13080709964 16818055668 18219560307 19621064946 22424074224 24292747076 26161419928 29431597419 33636111336 36439120614 39242129892 42512307383 48585494152 52322839856 54658680921 58863194838 67272222672 72878241228 78484259784 85024614766 97170988304 109317361842 117726389676 127536922149 145756482456 156968519568 170049229532 218634723684 235452779352 255073844298 291512964912 340098459064 382610766447 437269447368 470905558704 510147688596 680196918128 765221532894 874538894736 1020295377192 1530443065788 2040590754384 3060886131576 6121772263152