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20501335040 = 210528314149
BaseRepresentation
bin10011000101111110…
…011000110000000000
31221220202212201122012
4103011332120300000
5313441320210130
613230154432052
71324020321044
oct230576306000
957822781565
1020501335040
1187705184aa
123b81a32628
131c195095a4
14dc6b08024
157eec99995
hex4c5f98c00

20501335040 has 88 divisors (see below), whose sum is σ = 49356445200. Its totient is φ = 8170979328.

The previous prime is 20501335037. The next prime is 20501335067. The reversal of 20501335040 is 4053310502.

It is a junction number, because it is equal to n+sod(n) for n = 20501334997 and 20501335015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441886 + ... + 1456034.

Almost surely, 220501335040 is an apocalyptic number.

20501335040 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 20501335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678222600).

20501335040 is an abundant number, since it is smaller than the sum of its proper divisors (28855110160).

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

20501335040 is a wasteful number, since it uses less digits than its factorization.

20501335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14457 (or 14439 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 20501335040 its reverse (4053310502), we get a palindrome (24554645542).

The spelling of 20501335040 in words is "twenty billion, five hundred one million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 283 320 512 566 640 1024 1132 1280 1415 2264 2560 2830 4528 5120 5660 9056 11320 14149 18112 22640 28298 36224 45280 56596 70745 72448 90560 113192 141490 144896 181120 226384 282980 289792 362240 452768 565960 724480 905536 1131920 1448960 1811072 2263840 3622144 4004167 4527680 7244288 8008334 9055360 14488576 16016668 18110720 20020835 32033336 36221440 40041670 64066672 72442880 80083340 128133344 160166680 256266688 320333360 512533376 640666720 1025066752 1281333440 2050133504 2562666880 4100267008 5125333760 10250667520 20501335040