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6516680820 = 22351334724077
BaseRepresentation
bin1100001000110110…
…01010100001110100
3121211011021200111220
412010123022201310
5101321232241240
62554351030340
7320326605306
oct60433124164
917734250456
106516680820
112844550831
12131a50b3b0
137cb141570
1445b6a7976
152821985d0
hex1846ca874

6516680820 has 96 divisors (see below), whose sum is σ = 19707746688. Its totient is φ = 1599416832.

The previous prime is 6516680809. The next prime is 6516680899. The reversal of 6516680820 is 280866156.

It is a congruent number.

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, 258622 + ... + 282698.

It is an arithmetic number, because the mean of its divisors is an integer number (205289028).

Almost surely, 26516680820 is an apocalyptic number.

6516680820 is a gapful number since it is divisible by the number (60) 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 6516680820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853873344).

6516680820 is an abundant number, since it is smaller than the sum of its proper divisors (13191065868).

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

6516680820 is a wasteful number, since it uses less digits than its factorization.

6516680820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24449 (or 24447 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6516680820 is about 80725.9612516321. The cubic root of 6516680820 is about 1867.8506594995.

The spelling of 6516680820 in words is "six billion, five hundred sixteen million, six hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 347 390 694 780 1041 1388 1735 2082 3470 4164 4511 5205 6940 9022 10410 13533 18044 20820 22555 24077 27066 45110 48154 54132 67665 72231 90220 96308 120385 135330 144462 240770 270660 288924 313001 361155 481540 626002 722310 939003 1252004 1444620 1565005 1878006 3130010 3756012 4695015 6260020 8354719 9390030 16709438 18780060 25064157 33418876 41773595 50128314 83547190 100256628 108611347 125320785 167094380 217222694 250641570 325834041 434445388 501283140 543056735 651668082 1086113470 1303336164 1629170205 2172226940 3258340410 6516680820