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13162300540 = 22519319711519
BaseRepresentation
bin11000100001000100…
…01100010001111100
31020222022012010221121
430100202030101330
5203424022104130
610014025440324
7644113465024
oct142042142174
936868163847
1013162300540
115644859234
1226740400a4
131319bb961c
148cc136a84
15520810d7a
hex31088c47c

13162300540 has 96 divisors (see below), whose sum is σ = 30346444800. Its totient is φ = 4776744960.

The previous prime is 13162300531. The next prime is 13162300583. The reversal of 13162300540 is 4500326131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136901 + ... + 1148419.

It is an arithmetic number, because the mean of its divisors is an integer number (316108800).

Almost surely, 213162300540 is an apocalyptic number.

13162300540 is a gapful number since it is divisible by the number (10) 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 13162300540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173222400).

13162300540 is an abundant number, since it is smaller than the sum of its proper divisors (17184144260).

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

13162300540 is a wasteful number, since it uses less digits than its factorization.

13162300540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13162300540 its reverse (4500326131), we get a palindrome (17662626671).

The spelling of 13162300540 in words is "thirteen billion, one hundred sixty-two million, three hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 97 124 155 190 194 310 380 388 485 589 620 970 1178 1843 1940 2356 2945 3007 3686 5890 6014 7372 9215 11519 11780 12028 15035 18430 23038 30070 36860 46076 57133 57595 60140 114266 115190 218861 228532 230380 285665 357089 437722 571330 714178 875444 1094305 1117343 1142660 1428356 1785445 2188610 2234686 3570890 4377220 4469372 5586715 6784691 7141780 11173430 13569382 21229517 22346860 27138764 33923455 34637633 42459034 67846910 69275266 84918068 106147585 135693820 138550532 173188165 212295170 346376330 424590340 658115027 692752660 1316230054 2632460108 3290575135 6581150270 13162300540