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209839418080 = 2552383687007
BaseRepresentation
bin1100001101101101100…
…1110110101011100000
3202001122001212220122021
43003123121312223200
511414222342334310
6240222054551224
721106005424045
oct3033331665340
9661561786567
10209839418080
1180aa0976686
1234802968514
1316a31974056
14a228ba31cc
1556d21b25da
hex30db676ae0

209839418080 has 96 divisors (see below), whose sum is σ = 523533072384. Its totient is φ = 79318964736.

The previous prime is 209839418053. The next prime is 209839418161. The reversal of 209839418080 is 80814938902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38064 + ... + 648943.

It is an arithmetic number, because the mean of its divisors is an integer number (5453469504).

Almost surely, 2209839418080 is an apocalyptic number.

209839418080 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 209839418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261766536192).

209839418080 is an abundant number, since it is smaller than the sum of its proper divisors (313693654304).

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

209839418080 is a wasteful number, since it uses less digits than its factorization.

209839418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687128 (or 687120 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 209839418080 in words is "two hundred nine billion, eight hundred thirty-nine million, four hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 83 92 115 160 166 184 230 332 368 415 460 664 736 830 920 1328 1660 1840 1909 2656 3320 3680 3818 6640 7636 9545 13280 15272 19090 30544 38180 61088 76360 152720 305440 687007 1374014 2748028 3435035 5496056 6870070 10992112 13740140 15801161 21984224 27480280 31602322 54960560 57021581 63204644 79005805 109921120 114043162 126409288 158011610 228086324 252818576 285107905 316023220 456172648 505637152 570215810 632046440 912345296 1140431620 1264092880 1311496363 1824690592 2280863240 2528185760 2622992726 4561726480 5245985452 6557481815 9123452960 10491970904 13114963630 20983941808 26229927260 41967883616 52459854520 104919709040 209839418080