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20015336540 = 225411071571453
BaseRepresentation
bin10010101001000000…
…011100110001011100
31220122220101110000202
4102221000130301130
5311442411232130
613110034043032
71305666360563
oct225100346134
956586343022
1020015336540
118541154651
123a67119478
131b6c917504
14d7c358bda
157c229a145
hex4a901cc5c

20015336540 has 96 divisors (see below), whose sum is σ = 43766702784. Its totient is φ = 7683287040.

The previous prime is 20015336513. The next prime is 20015336543. The reversal of 20015336540 is 4563351002.

It is a super-2 number, since 2×200153365402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20015336543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13774454 + ... + 13775906.

It is an arithmetic number, because the mean of its divisors is an integer number (455903154).

Almost surely, 220015336540 is an apocalyptic number.

20015336540 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 20015336540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21883351392).

20015336540 is an abundant number, since it is smaller than the sum of its proper divisors (23751366244).

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

20015336540 is a wasteful number, since it uses less digits than its factorization.

20015336540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 20015336540 its reverse (4563351002), we get a palindrome (24578687542).

The spelling of 20015336540 in words is "twenty billion, fifteen million, three hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 107 157 164 205 214 314 410 428 535 628 785 820 1070 1453 1570 2140 2906 3140 4387 5812 6437 7265 8774 12874 14530 16799 17548 21935 25748 29060 32185 33598 43870 59573 64370 67196 83995 87740 119146 128740 155471 167990 228121 238292 297865 310942 335980 456242 595730 621884 688759 777355 912484 1140605 1191460 1377518 1554710 2281210 2755036 3109420 3443795 4562420 6374311 6887590 9352961 12748622 13775180 18705922 24408947 25497244 31871555 37411844 46764805 48817894 63743110 93529610 97635788 122044735 127486220 187059220 244089470 488178940 1000766827 2001533654 4003067308 5003834135 10007668270 20015336540