Search a number
-
+
136053415350 = 232523131093137
BaseRepresentation
bin111111010110101101…
…0100101110110110110
3111000011210111121101100
41332231122211312312
54212114133242400
6142300240510530
712554346643416
oct1765532456666
9430153447340
10136053415350
1152777673736
122245001b446
13caa30533c8
146829420646
1538144ed100
hex1fad6a5db6

136053415350 has 144 divisors (see below), whose sum is σ = 377563155840. Its totient is φ = 35088076800.

The previous prime is 136053415331. The next prime is 136053415367. The reversal of 136053415350 is 53514350631.

136053415350 is a `hidden beast` number, since 1 + 3 + 60 + 534 + 15 + 3 + 50 = 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, 43368982 + ... + 43372118.

It is an arithmetic number, because the mean of its divisors is an integer number (2621966360).

Almost surely, 2136053415350 is an apocalyptic number.

136053415350 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 136053415350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188781577920).

136053415350 is an abundant number, since it is smaller than the sum of its proper divisors (241509740490).

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

136053415350 is a wasteful number, since it uses less digits than its factorization.

136053415350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 136053415350 its reverse (53514350631), we get a palindrome (189567765981).

The spelling of 136053415350 in words is "one hundred thirty-six billion, fifty-three million, four hundred fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 3109 3137 4650 6218 6274 6975 9327 9411 13950 15545 15685 18654 18822 27981 28233 31090 31370 46635 47055 55962 56466 77725 78425 93270 94110 96379 97247 139905 141165 155450 156850 192758 194494 233175 235275 279810 282330 289137 291741 466350 470550 481895 486235 578274 583482 699525 705825 867411 875223 963790 972470 1399050 1411650 1445685 1458705 1734822 1750446 2409475 2431175 2891370 2917410 4337055 4376115 4818950 4862350 7228425 7293525 8674110 8752230 9752933 14456850 14587050 19505866 21685275 21880575 29258799 43370550 43761150 48764665 58517598 87776397 97529330 146293995 175552794 243823325 292587990 302340923 438881985 487646650 604681846 731469975 877763970 907022769 1462939950 1511704615 1814045538 2194409925 2721068307 3023409230 4388819850 4535113845 5442136614 7558523075 9070227690 13605341535 15117046150 22675569225 27210683070 45351138450 68026707675 136053415350