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11250345132 = 223213196911831
BaseRepresentation
bin10100111101001001…
…01010010010101100
31002001001111202012100
422132210222102230
5141020042021012
65100205535100
7545536233015
oct123644522254
932031452170
1011250345132
1148535878a4
12221b874490
1310a3a5b170
1478a23a00c
1545ca408dc
hex29e92a4ac

11250345132 has 144 divisors (see below), whose sum is σ = 32302117120. Its totient is φ = 3272918400.

The previous prime is 11250345109. The next prime is 11250345137. The reversal of 11250345132 is 23154305211.

11250345132 is a `hidden beast` number, since 112 + 5 + 0 + 34 + 513 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11250345096 and 11250345105.

It is not an unprimeable number, because it can be changed into a prime (11250345137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6143457 + ... + 6145287.

Almost surely, 211250345132 is an apocalyptic number.

11250345132 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 11250345132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151058560).

11250345132 is an abundant number, since it is smaller than the sum of its proper divisors (21051771988).

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

11250345132 is a wasteful number, since it uses less digits than its factorization.

11250345132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11250345132 in words is "eleven billion, two hundred fifty million, three hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 691 741 988 1382 1482 1831 2073 2223 2764 2964 3662 4146 4446 5493 6219 7324 8292 8892 8983 10986 12438 13129 16479 17966 21972 23803 24876 26258 26949 32958 34789 35932 39387 47606 52516 53898 65916 69578 71409 78774 80847 95212 104367 107796 118161 139156 142818 157548 161694 170677 208734 214227 236322 285636 313101 323388 341354 417468 428454 452257 472644 512031 626202 682708 856908 904514 1024062 1252404 1265221 1356771 1536093 1809028 2048124 2530442 2713542 3072186 3795663 4070313 5060884 5427084 6144372 7591326 8140626 11386989 15182652 16281252 16447873 22773978 24039199 32895746 45547956 48078398 49343619 65791492 72117597 96156796 98687238 144235194 148030857 197374476 216352791 288470388 296061714 312509587 432705582 592123428 625019174 865411164 937528761 1250038348 1875057522 2812586283 3750115044 5625172566 11250345132