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20808570528 = 2532313359643
BaseRepresentation
bin10011011000010010…
…011001011010100000
31222201011222220111100
4103120102121122200
5320103443224103
613320451514400
71334440634244
oct233022313240
958634886440
1020808570528
118908994029
1240488b8a00
131c6806b835
141015842424
1581bc375a3
hex4d84996a0

20808570528 has 144 divisors (see below), whose sum is σ = 59621365440. Its totient is φ = 6884047872.

The previous prime is 20808570481. The next prime is 20808570539. The reversal of 20808570528 is 82507580802.

20808570528 is a `hidden beast` number, since 20 + 8 + 0 + 8 + 570 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32361375 + ... + 32362017.

It is an arithmetic number, because the mean of its divisors is an integer number (414037260).

Almost surely, 220808570528 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 20808570528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29810682720).

20808570528 is an abundant number, since it is smaller than the sum of its proper divisors (38812794912).

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

20808570528 is a wasteful number, since it uses less digits than its factorization.

20808570528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 20808570528 in words is "twenty billion, eight hundred eight million, five hundred seventy thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 359 626 643 718 939 1077 1252 1286 1436 1878 1929 2154 2504 2572 2817 2872 3231 3756 3858 4308 5008 5144 5634 5744 5787 6462 7512 7716 8616 10016 10288 11268 11488 11574 12924 15024 15432 17232 20576 22536 23148 25848 30048 30864 34464 45072 46296 51696 61728 90144 92592 103392 112367 185184 201259 224734 230837 337101 402518 449468 461674 603777 674202 692511 805036 898936 923348 1011303 1207554 1348404 1385022 1610072 1797872 1811331 1846696 2022606 2077533 2415108 2696808 2770044 3220144 3595744 3622662 3693392 4045212 4155066 4830216 5393616 5540088 6440288 7245324 7386784 8090424 8310132 9660432 10787232 11080176 14490648 16180848 16620264 19320864 22160352 28981296 32361696 33240528 57962592 66481056 72251981 144503962 216755943 289007924 433511886 578015848 650267829 867023772 1156031696 1300535658 1734047544 2312063392 2601071316 3468095088 5202142632 6936190176 10404285264 20808570528