Search a number
-
+
31063807764 = 223211237192737
BaseRepresentation
bin11100111011100011…
…000001011100010100
32222011220000221021200
4130323203001130110
51002104313322024
622134233112500
72146535003133
oct347343013424
988156027250
1031063807764
11121a0789600
12602b258730
132c108b3452
14170984591a
15c1c2112c9
hex73b8c1714

31063807764 has 108 divisors (see below), whose sum is σ = 88642904532. Its totient is φ = 9158814720.

The previous prime is 31063807763. The next prime is 31063807771. The reversal of 31063807764 is 46770836013.

31063807764 is a `hidden beast` number, since 3 + 1 + 0 + 638 + 0 + 7 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30130016400 + 933791364 = 173580^2 + 30558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31063807763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64804 + ... + 257540.

Almost surely, 231063807764 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 31063807764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44321452266).

31063807764 is an abundant number, since it is smaller than the sum of its proper divisors (57579096768).

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

31063807764 is a wasteful number, since it uses less digits than its factorization.

31063807764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192806 (or 192790 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 31063807764 in words is "thirty-one billion, sixty-three million, eight hundred seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 121 132 148 198 222 242 333 363 396 407 444 484 666 726 814 1089 1221 1332 1452 1628 2178 2442 3663 4356 4477 4884 7326 8954 13431 14652 17908 26862 40293 53724 80586 161172 192737 385474 578211 770948 1156422 1734633 2120107 2312844 3469266 4240214 6360321 6938532 7131269 8480428 12720642 14262538 19080963 21393807 23321177 25441284 28525076 38161926 42787614 46642354 64181421 69963531 76323852 78443959 85575228 93284708 128362842 139927062 156887918 209890593 235331877 256725684 279854124 313775836 419781186 470663754 705995631 839562372 862883549 941327508 1411991262 1725767098 2588650647 2823982524 3451534196 5177301294 7765951941 10354602588 15531903882 31063807764