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20468020280 = 2356728326987
BaseRepresentation
bin10011000011111111…
…010011010000111000
31221211110012011101012
4103003333103100320
5313404303122110
613223004413052
71323134205341
oct230377232070
957743164335
1020468020280
118753733644
123b72847188
131c12643906
14dc25150c8
157ebdb8905
hex4c3fd3438

20468020280 has 64 divisors (see below), whose sum is σ = 46907303040. Its totient is φ = 8036214912.

The previous prime is 20468020267. The next prime is 20468020283. The reversal of 20468020280 is 8202086402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468020283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744947 + ... + 771933.

It is an arithmetic number, because the mean of its divisors is an integer number (732926610).

Almost surely, 220468020280 is an apocalyptic number.

20468020280 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 20468020280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453651520).

20468020280 is an abundant number, since it is smaller than the sum of its proper divisors (26439282760).

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

20468020280 is a wasteful number, since it uses less digits than its factorization.

20468020280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27348 (or 27344 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 20468020280 in words is "twenty billion, four hundred sixty-eight million, twenty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 283 335 536 566 670 1132 1340 1415 2264 2680 2830 5660 11320 18961 26987 37922 53974 75844 94805 107948 134935 151688 189610 215896 269870 379220 539740 758440 1079480 1808129 3616258 7232516 7637321 9040645 14465032 15274642 18081290 30549284 36162580 38186605 61098568 72325160 76373210 152746420 305492840 511700507 1023401014 2046802028 2558502535 4093604056 5117005070 10234010140 20468020280