Search a number
-
+
15133124025150 = 23521921132473157
BaseRepresentation
bin1101110000110111010001…
…1110110101101100111110
31222120201020102200112201120
43130031310132311230332
53440420114222301100
652104021115251410
73121221630554025
oct334156436655476
958521212615646
1015133124025150
114904a15aa0a7a
121844a98749b66
1385a0803b18b1
143a4638c2d8bc
151b39a98ba0a0
hexdc3747b5b3e

15133124025150 has 144 divisors (see below), whose sum is σ = 39959921780784. Its totient is φ = 3789270696960.

The previous prime is 15133124025143. The next prime is 15133124025163. The reversal of 15133124025150 is 5152042133151.

It is a super-3 number, since 3×151331240251503 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

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, 4882372 + ... + 7355528.

It is an arithmetic number, because the mean of its divisors is an integer number (277499456811).

Almost surely, 215133124025150 is an apocalyptic number.

15133124025150 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 15133124025150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979960890392).

15133124025150 is an abundant number, since it is smaller than the sum of its proper divisors (24826797755634).

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

15133124025150 is a wasteful number, since it uses less digits than its factorization.

15133124025150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473323 (or 2473299 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 15133124025150 in words is "fifteen trillion, one hundred thirty-three billion, one hundred twenty-four million, twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 113 114 150 190 226 285 339 361 475 565 570 678 722 950 1083 1130 1425 1695 1805 2147 2166 2825 2850 3390 3610 4294 5415 5650 6441 8475 9025 10735 10830 12882 16950 18050 21470 27075 32205 40793 53675 54150 64410 81586 107350 122379 161025 203965 244758 322050 407930 611895 1019825 1223790 2039650 2473157 3059475 4946314 6118950 7419471 12365785 14838942 24731570 37097355 46989983 61828925 74194710 93979966 123657850 140969949 185486775 234949915 279466741 281939898 370973550 469899830 558933482 704849745 838400223 892809677 1174749575 1397333705 1409699490 1676800446 1785619354 2349499150 2678429031 2794667410 3524248725 4192001115 4464048385 5309868079 5356858062 6986668525 7048497450 8384002230 8928096770 10619736158 13392145155 13973337050 15929604237 20960005575 22320241925 26549340395 26784290310 31859208474 41920011150 44640483850 53098680790 66960725775 79648021185 100887493501 132746701975 133921451550 159296042370 201774987002 265493403950 302662480503 398240105925 504437467505 605324961006 796480211850 1008874935010 1513312402515 2522187337525 3026624805030 5044374675050 7566562012575 15133124025150