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15138154070500 = 2253535411055917
BaseRepresentation
bin1101110001001010000001…
…0010111100000111100100
31222121012012222121022202111
43130102200102330013210
53441010414420224000
652110212202450404
73121460366336206
oct334224022740744
958535188538674
1015138154070500
11490706735a54a
121845a61203a04
1385a6a252cca6
143a4994cb2776
151b3ba12a8cba
hexdc4a04bc1e4

15138154070500 has 96 divisors (see below), whose sum is σ = 33747831962208. Its totient is φ = 5930024256000.

The previous prime is 15138154070477. The next prime is 15138154070527. The reversal of 15138154070500 is 507045183151.

It can be written as a sum of positive squares in 16 ways, for example, as 14139645513984 + 998508556516 = 3760272^2 + 999254^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13808542 + ... + 14864458.

It is an arithmetic number, because the mean of its divisors is an integer number (351539916273).

Almost surely, 215138154070500 is an apocalyptic number.

15138154070500 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 15138154070500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873915981104).

15138154070500 is an abundant number, since it is smaller than the sum of its proper divisors (18609677891708).

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

15138154070500 is a wasteful number, since it uses less digits than its factorization.

15138154070500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056530 (or 1056518 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The spelling of 15138154070500 in words is "fifteen trillion, one hundred thirty-eight billion, one hundred fifty-four million, seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 541 1060 1082 1325 2164 2650 2705 5300 5410 6625 10820 13250 13525 26500 27050 28673 54100 57346 67625 114692 135250 143365 270500 286730 573460 716825 1055917 1433650 2111834 2867300 3584125 4223668 5279585 7168250 10559170 14336500 21118340 26397925 52795850 55963601 105591700 111927202 131989625 223854404 263979250 279818005 527958500 559636010 571251097 1119272020 1142502194 1399090025 2285004388 2798180050 2856255485 5596360100 5712510970 6995450125 11425021940 13990900250 14281277425 27981800500 28562554850 30276308141 57125109700 60552616282 71406387125 121105232564 142812774250 151381540705 285625548500 302763081410 605526162820 756907703525 1513815407050 3027630814100 3784538517625 7569077035250 15138154070500