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20723790828 = 22313597872861
BaseRepresentation
bin10011010011001110…
…111111001111101100
31222111021110122121110
4103103032333033230
5314420242301303
613304222432020
71332361213146
oct232316771754
958437418543
1020723790828
118875048864
124024432610
131c53626a30
141008493c96
1581458c703
hex4d33bf3ec

20723790828 has 96 divisors (see below), whose sum is σ = 53043621120. Its totient is φ = 6258320640.

The previous prime is 20723790817. The next prime is 20723790847. The reversal of 20723790828 is 82809732702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7242118 + ... + 7244978.

It is an arithmetic number, because the mean of its divisors is an integer number (552537720).

Almost surely, 220723790828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20723790828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521810560).

20723790828 is an abundant number, since it is smaller than the sum of its proper divisors (32319830292).

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

20723790828 is a wasteful number, since it uses less digits than its factorization.

20723790828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 20723790828 in words is "twenty billion, seven hundred twenty-three million, seven hundred ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 787 1534 1574 2301 2361 2861 3068 3148 4602 4722 5722 8583 9204 9444 10231 11444 17166 20462 30693 34332 37193 40924 46433 61386 74386 92866 111579 122772 139299 148772 168799 185732 223158 278598 337598 446316 506397 557196 603629 675196 1012794 1207258 1810887 2025588 2194387 2251607 2414516 3621774 4388774 4503214 6583161 6754821 7243548 8777548 9006428 13166322 13509642 26332644 27019284 29270891 58541782 87812673 117083564 132844813 175625346 265689626 351250692 398534439 531379252 797068878 1594137756 1726982569 3453965138 5180947707 6907930276 10361895414 20723790828