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11254973532 = 22311192251941
BaseRepresentation
bin10100111101101100…
…10100010001011100
31002001101012220011120
422132312110101130
5141022233123112
65100453050540
7545623460625
oct123666242134
932041186146
1011254973532
114856159220
122221326a50
1310a49bba6a
1478aac2a4c
1545d156e8c
hex29ed9445c

11254973532 has 144 divisors (see below), whose sum is σ = 30388950144. Its totient is φ = 3214800000.

The previous prime is 11254973531. The next prime is 11254973603. The reversal of 11254973532 is 23537945211.

11254973532 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 (11254973531) 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 47 ways as a sum of consecutive naturals, for example, 11960182 + ... + 11961122.

It is an arithmetic number, because the mean of its divisors is an integer number (211034376).

Almost surely, 211254973532 is an apocalyptic number.

11254973532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11254973532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194475072).

11254973532 is an abundant number, since it is smaller than the sum of its proper divisors (19133976612).

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

11254973532 is a wasteful number, since it uses less digits than its factorization.

11254973532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1227 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The spelling of 11254973532 in words is "eleven billion, two hundred fifty-four million, nine hundred seventy-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 251 361 418 502 627 722 753 836 941 1004 1083 1254 1444 1506 1882 2166 2508 2761 2823 3012 3764 3971 4332 4769 5522 5646 7942 8283 9538 10351 11044 11292 11913 14307 15884 16566 17879 19076 20702 23826 28614 31053 33132 35758 41404 47652 52459 53637 57228 62106 71516 90611 104918 107274 124212 157377 181222 196669 209836 214548 236191 271833 314754 339701 362444 393338 472382 543666 590007 629508 679402 708573 786676 944764 996721 1019103 1087332 1180014 1358804 1417146 1993442 2038206 2360028 2598101 2834292 2990163 3736711 3986884 4076412 4487629 5196202 5980326 7473422 7794303 8975258 10392404 11210133 11960652 13462887 14946844 15588606 17950516 22420266 26925774 31177212 44840532 49363919 53851548 85264951 98727838 148091757 170529902 197455676 255794853 296183514 341059804 511589706 592367028 937914461 1023179412 1875828922 2813743383 3751657844 5627486766 11254973532