Search a number
-
+
20330525520 = 24325149189509
BaseRepresentation
bin10010111011110010…
…110011001101010000
31221110212110201000200
4102323302303031100
5313114103304040
613201213415200
71316544421104
oct227362631520
957425421020
1020330525520
118693062808
123b3479a500
131bc0002976
14dac163904
157deca9630
hex4bbcb3350

20330525520 has 120 divisors (see below), whose sum is σ = 68735277000. Its totient is φ = 5385059328.

The previous prime is 20330525497. The next prime is 20330525549. The reversal of 20330525520 is 2552503302.

It can be written as a sum of positive squares in 4 ways, for example, as 773062416 + 19557463104 = 27804^2 + 139848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 12526 + ... + 202034.

It is an arithmetic number, because the mean of its divisors is an integer number (572793975).

Almost surely, 220330525520 is an apocalyptic number.

20330525520 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 20330525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34367638500).

20330525520 is an abundant number, since it is smaller than the sum of its proper divisors (48404751480).

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

20330525520 is a wasteful number, since it uses less digits than its factorization.

20330525520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189677 (or 189668 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 20330525520 in words is "twenty billion, three hundred thirty million, five hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 240 298 360 447 596 720 745 894 1192 1341 1490 1788 2235 2384 2682 2980 3576 4470 5364 5960 6705 7152 8940 10728 11920 13410 17880 21456 26820 35760 53640 107280 189509 379018 568527 758036 947545 1137054 1516072 1705581 1895090 2274108 2842635 3032144 3411162 3790180 4548216 5685270 6822324 7580360 8527905 9096432 11370540 13644648 15160720 17055810 22741080 27289296 28236841 34111620 45482160 56473682 68223240 84710523 112947364 136446480 141184205 169421046 225894728 254131569 282368410 338842092 423552615 451789456 508263138 564736820 677684184 847105230 1016526276 1129473640 1270657845 1355368368 1694210460 2033052552 2258947280 2541315690 3388420920 4066105104 5082631380 6776841840 10165262760 20330525520