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15005141000 = 235319517691
BaseRepresentation
bin11011111100110000…
…00100100000001000
31102201201211010210222
431332120010200020
5221212304003000
610520540125212
71040561410523
oct157630044010
942651733728
1015005141000
116400013583
122aa9236808
131551929075
14a24ba1bba
155cc4cca85
hex37e604808

15005141000 has 64 divisors (see below), whose sum is σ = 35134594560. Its totient is φ = 5998200000.

The previous prime is 15005140961. The next prime is 15005141023. The reversal of 15005141000 is 14150051.

It is a self number, because there is not a number n which added to its sum of digits gives 15005141000.

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 15 ways as a sum of consecutive naturals, for example, 1947155 + ... + 1954845.

It is an arithmetic number, because the mean of its divisors is an integer number (548978040).

Almost surely, 215005141000 is an apocalyptic number.

15005141000 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 15005141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567297280).

15005141000 is an abundant number, since it is smaller than the sum of its proper divisors (20129453560).

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

15005141000 is a wasteful number, since it uses less digits than its factorization.

15005141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9663 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 15005141000 its reverse (14150051), we get a palindrome (15019291051).

The spelling of 15005141000 in words is "fifteen billion, five million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1951 3902 7691 7804 9755 15382 15608 19510 30764 38455 39020 48775 61528 76910 78040 97550 153820 192275 195100 243875 307640 384550 390200 487750 769100 961375 975500 1538200 1922750 1951000 3845500 7691000 15005141 30010282 60020564 75025705 120041128 150051410 300102820 375128525 600205640 750257050 1500514100 1875642625 3001028200 3751285250 7502570500 15005141000