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15085143312 = 24337471271423
BaseRepresentation
bin11100000110010010…
…10000010100010000
31102221022100200100120
432003021100110100
5221343244041222
610532514550240
71042552413441
oct160311202420
942838320316
1015085143312
116441196498
122b0bb98380
13156538a505
14a316692c8
155d453215c
hex383250510

15085143312 has 160 divisors (see below), whose sum is σ = 41225551872. Its totient is φ = 4747341312.

The previous prime is 15085143263. The next prime is 15085143313. The reversal of 15085143312 is 21334158051.

It is not an unprimeable number, because it can be changed into a prime (15085143313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10600233 + ... + 10601655.

Almost surely, 215085143312 is an apocalyptic number.

15085143312 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 15085143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612775936).

15085143312 is an abundant number, since it is smaller than the sum of its proper divisors (26140408560).

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

15085143312 is a wasteful number, since it uses less digits than its factorization.

15085143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 15085143312 in words is "fifteen billion, eighty-five million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 47 48 74 94 111 127 141 148 188 222 254 282 296 376 381 444 508 564 592 752 762 888 1016 1128 1423 1524 1739 1776 2032 2256 2846 3048 3478 4269 4699 5217 5692 5969 6096 6956 8538 9398 10434 11384 11938 13912 14097 17076 17907 18796 20868 22768 23876 27824 28194 34152 35814 37592 41736 47752 52651 56388 66881 68304 71628 75184 83472 95504 105302 112776 133762 143256 157953 180721 200643 210604 220853 225552 267524 286512 315906 361442 401286 421208 441706 535048 542163 631812 662559 722884 802572 842416 883412 1070096 1084326 1263624 1325118 1445768 1605144 1766824 2168652 2474597 2527248 2650236 2891536 3210288 3533648 4337304 4949194 5300472 6686677 7423791 8493887 8674608 9898388 10600944 13373354 14847582 16987774 19796776 20060031 25481661 26746708 29695164 33975548 39593552 40120062 50963322 53493416 59390328 67951096 80240124 101926644 106986832 118780656 135902192 160480248 203853288 314273819 320960496 407706576 628547638 942821457 1257095276 1885642914 2514190552 3771285828 5028381104 7542571656 15085143312