Search a number
-
+
15150200488192 = 287111117688073
BaseRepresentation
bin1101110001110110111001…
…0100011000000100000000
31222122100022112001202012201
43130131232110120010000
53441210102311110232
652115523411202544
73122365043240410
oct334355624300400
958570275052181
1015150200488192
114911189235450
1218482635a6454
1385b8721974b3
143a53b8b34640
151b4158b47be7
hexdc76e518100

15150200488192 has 144 divisors (see below), whose sum is σ = 37737148804992. Its totient is φ = 5897382543360.

The previous prime is 15150200488177. The next prime is 15150200488207. The reversal of 15150200488192 is 29188400205151.

It is an interprime number because it is at equal distance from previous prime (15150200488177) and next prime (15150200488207).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21674268 + ... + 22362340.

It is an arithmetic number, because the mean of its divisors is an integer number (262063533368).

Almost surely, 215150200488192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15150200488192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18868574402496).

15150200488192 is an abundant number, since it is smaller than the sum of its proper divisors (22586948316800).

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

15150200488192 is a wasteful number, since it uses less digits than its factorization.

15150200488192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689224 (or 689210 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 46.

The spelling of 15150200488192 in words is "fifteen trillion, one hundred fifty billion, two hundred million, four hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1117 1232 1408 1792 2234 2464 2816 4468 4928 7819 8936 9856 12287 15638 17872 19712 24574 31276 35744 49148 62552 71488 86009 98296 125104 142976 172018 196592 250208 285952 344036 393184 500416 688072 688073 786368 1000832 1376144 1376146 1572736 2001664 2752288 2752292 3145472 4816511 5504576 5504584 7568803 9633022 11009152 11009168 15137606 19266044 22018304 22018336 30275212 38532088 44036672 52981621 60550424 77064176 88073344 105963242 121100848 154128352 176146688 211926484 242201696 308256704 423852968 484403392 616513408 768577541 847705936 968806784 1233026816 1537155082 1695411872 1937613568 3074310164 3390823744 5380042787 6148620328 6781647488 8454352951 10760085574 12297240656 13563294976 16908705902 21520171148 24594481312 33817411804 43040342296 49188962624 59180470657 67634823608 86080684592 98377925248 118360941314 135269647216 172161369184 196755850496 236721882628 270539294432 344322738368 473443765256 541078588864 688645476736 946887530512 1082157177728 1377290953472 1893775061024 2164314355456 3787550122048 7575100244096 15150200488192