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13534305150 = 23521922310867
BaseRepresentation
bin11001001101011010…
…10001101101111110
31021221020011221100010
430212231101231332
5210204240231100
610114555044050
7656251460412
oct144655215576
937836157303
1013534305150
115815842863
122758740626
131378ca84b2
149256d0d42
155432e4750
hex326b51b7e

13534305150 has 144 divisors (see below), whose sum is σ = 36968241024. Its totient is φ = 3270231360.

The previous prime is 13534305089. The next prime is 13534305151. The reversal of 13534305150 is 5150343531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13534305151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1240017 + ... + 1250883.

It is an arithmetic number, because the mean of its divisors is an integer number (256723896).

Almost surely, 213534305150 is an apocalyptic number.

13534305150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13534305150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484120512).

13534305150 is an abundant number, since it is smaller than the sum of its proper divisors (23433935874).

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

13534305150 is a wasteful number, since it uses less digits than its factorization.

13534305150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10943 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 13534305150 its reverse (5150343531), we get a palindrome (18684648681).

The spelling of 13534305150 in words is "thirteen billion, five hundred thirty-four million, three hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 138 150 190 230 285 345 361 437 475 570 575 690 722 874 950 1083 1150 1311 1425 1725 1805 2166 2185 2622 2850 3450 3610 4370 5415 6555 8303 9025 10830 10867 10925 13110 16606 18050 21734 21850 24909 27075 32601 32775 41515 49818 54150 54335 65202 65550 83030 108670 124545 163005 206473 207575 249090 249941 271675 326010 412946 415150 499882 543350 619419 622725 749823 815025 1032365 1238838 1245450 1249705 1499646 1630050 2064730 2499410 3097095 3749115 3922987 4748879 5161825 6194190 6248525 7498230 7845974 9497758 10323650 11768961 12497050 14246637 15485475 18745575 19614935 23537922 23744395 28493274 30970950 37491150 39229870 47488790 58844805 71233185 90228701 98074675 117689610 118721975 142466370 180457402 196149350 237443950 270686103 294224025 356165925 451143505 541372206 588448050 712331850 902287010 1353430515 2255717525 2706861030 4511435050 6767152575 13534305150