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20806733520 = 2433527533499
BaseRepresentation
bin10011011000001011…
…011000111011010000
31222201001112120121000
4103120023120323100
5320103010433040
613320344302000
71334416213446
oct233013307320
958631476530
1020806733520
118907949941
124048171900
131c67877651
1410154c4b96
1581b9c3130
hex4d82d8ed0

20806733520 has 160 divisors (see below), whose sum is σ = 71714160000. Its totient is φ = 5544861696.

The previous prime is 20806733509. The next prime is 20806733527. The reversal of 20806733520 is 2533760802.

20806733520 is a `hidden beast` number, since 20 + 80 + 6 + 7 + 33 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20806733527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5944731 + ... + 5948229.

It is an arithmetic number, because the mean of its divisors is an integer number (448213500).

Almost surely, 220806733520 is an apocalyptic number.

20806733520 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 20806733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35857080000).

20806733520 is an abundant number, since it is smaller than the sum of its proper divisors (50907426480).

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

20806733520 is a wasteful number, since it uses less digits than its factorization.

20806733520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20806733520 in words is "twenty billion, eight hundred six million, seven hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2753 3499 5506 6998 8259 10497 11012 13765 13996 16518 17495 20994 22024 24777 27530 27992 31491 33036 34990 41295 41988 44048 49554 52485 55060 55984 62982 66072 69980 74331 82590 83976 94473 99108 104970 110120 123885 125964 132144 139960 148662 157455 165180 167952 188946 198216 209940 220240 247770 251928 279920 297324 314910 330360 371655 377892 396432 419880 472365 495540 503856 594648 629820 660720 743310 755784 839760 944730 991080 1189296 1259640 1486620 1511568 1889460 1982160 2519280 2973240 3778920 5946480 7557840 9632747 19265494 28898241 38530988 48163735 57796482 77061976 86694723 96327470 115592964 144491205 154123952 173389446 192654940 231185928 260084169 288982410 346778892 385309880 433473615 462371856 520168338 577964820 693557784 770619760 866947230 1040336676 1155929640 1300420845 1387115568 1733894460 2080673352 2311859280 2600841690 3467788920 4161346704 5201683380 6935577840 10403366760 20806733520