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6515006142150 = 23252113137419561
BaseRepresentation
bin101111011001110010010…
…1000000111011011000110
3212001211100222110021021100
41132303210220013123012
51323220213033022100
621504541424000530
71241456632331232
oct136634450073306
925054328407240
106515006142150
112091aa9137620
1289279a460146
1338349339750c
14187483d955c2
15b470c1e5400
hex5ece4a076c6

6515006142150 has 144 divisors (see below), whose sum is σ = 19101023246448. Its totient is φ = 1578888192000.

The previous prime is 6515006142137. The next prime is 6515006142173. The reversal of 6515006142150 is 512416005156.

6515006142150 is a `hidden beast` number, since 6 + 5 + 1 + 500 + 6 + 142 + 1 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15318370 + ... + 15737930.

It is an arithmetic number, because the mean of its divisors is an integer number (132645994767).

Almost surely, 26515006142150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6515006142150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550511623224).

6515006142150 is an abundant number, since it is smaller than the sum of its proper divisors (12586017104298).

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

6515006142150 is a wasteful number, since it uses less digits than its factorization.

6515006142150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422727 (or 422719 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 6515006142150 in words is "six trillion, five hundred fifteen billion, six million, one hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 3137 4950 6274 9411 15685 18822 28233 31370 34507 47055 56466 69014 78425 94110 103521 141165 156850 172535 207042 235275 282330 310563 345070 419561 470550 517605 621126 705825 839122 862675 1035210 1258683 1411650 1552815 1725350 2097805 2517366 2588025 3105630 3776049 4195610 4615171 5176050 6293415 7552098 7764075 9230342 10489025 12586830 13845513 15528150 18880245 20978050 23075855 27691026 31467075 37760490 41536539 46151710 62934150 69227565 83073078 94401225 115379275 138455130 188802450 207682695 230758550 346137825 415365390 692275650 1038413475 1316162857 2076826950 2632325714 3948488571 6580814285 7896977142 11845465713 13161628570 14477791427 19742442855 23690931426 28955582854 32904071425 39484885710 43433374281 59227328565 65808142850 72388957135 86866748562 98712214275 118454657130 130300122843 144777914270 197424428550 217166871405 260600245686 296136642825 361944785675 434333742810 592273285650 651500614215 723889571350 1085834357025 1303001228430 2171668714050 3257503071075 6515006142150