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20015348500 = 2253722693037
BaseRepresentation
bin10010101001000000…
…011111101100010100
31220122220102001102201
4102221000133230110
5311442412123000
613110034214244
71305666440500
oct225100375424
956586361381
1020015348500
118541162634
123a67124384
131b6c91caa4
14d7c35d300
157c229d96a
hex4a901fb14

20015348500 has 144 divisors (see below), whose sum is σ = 51056263440. Its totient is φ = 6834643200.

The previous prime is 20015348461. The next prime is 20015348501. The reversal of 20015348500 is 584351002.

It can be written as a sum of positive squares in 8 ways, for example, as 7851023236 + 12164325264 = 88606^2 + 110292^2 .

It is a super-2 number, since 2×200153485002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20015348501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6588982 + ... + 6592018.

It is an arithmetic number, because the mean of its divisors is an integer number (354557385).

Almost surely, 220015348500 is an apocalyptic number.

20015348500 is a gapful number since it is divisible by the number (20) 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 20015348500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528131720).

20015348500 is an abundant number, since it is smaller than the sum of its proper divisors (31040914940).

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

20015348500 is a wasteful number, since it uses less digits than its factorization.

20015348500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 20015348500 its reverse (584351002), we get a palindrome (20599699502).

The spelling of 20015348500 in words is "twenty billion, fifteen million, three hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 269 350 490 500 538 700 875 980 1076 1225 1345 1750 1883 2450 2690 3037 3500 3766 4900 5380 6074 6125 6725 7532 9415 12148 12250 13181 13450 15185 18830 21259 24500 26362 26900 30370 33625 37660 42518 47075 52724 60740 65905 67250 75925 85036 94150 106295 131810 134500 148813 151850 188300 212590 235375 263620 297626 303700 329525 379625 425180 470750 531475 595252 659050 744065 759250 816953 941500 1062950 1318100 1488130 1518500 1633906 1647625 2125900 2657375 2976260 3267812 3295250 3720325 4084765 5314750 5718671 6590500 7440650 8169530 10629500 11437342 14881300 16339060 18601625 20423825 22874684 28593355 37203250 40030697 40847650 57186710 74406500 80061394 81695300 102119125 114373420 142966775 160122788 200153485 204238250 285933550 400306970 408476500 571867100 714833875 800613940 1000767425 1429667750 2001534850 2859335500 4003069700 5003837125 10007674250 20015348500