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211209272080 = 24571193192667
BaseRepresentation
bin1100010010110100001…
…1011011101100010000
3202012011112111201001121
43010231003123230100
511430024033201310
6241010031412024
721154651122352
oct3045503335420
9665145451047
10211209272080
1181634145224
1234b25684014
1316bbc6c9251
14a318aa90d2
1557625a00da
hex312d0dbb10

211209272080 has 80 divisors (see below), whose sum is σ = 500560712064. Its totient is φ = 82861793280.

The previous prime is 211209272077. The next prime is 211209272081. The reversal of 211209272080 is 80272902112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2112092720802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211209272081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999907 + ... + 1192573.

Almost surely, 2211209272080 is an apocalyptic number.

211209272080 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 211209272080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250280356032).

211209272080 is an abundant number, since it is smaller than the sum of its proper divisors (289351439984).

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

211209272080 is a wasteful number, since it uses less digits than its factorization.

211209272080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192944 (or 192938 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 211209272080 in words is "two hundred eleven billion, two hundred nine million, two hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 193 284 355 386 568 710 772 965 1136 1420 1544 1930 2840 3088 3860 5680 7720 13703 15440 27406 54812 68515 109624 137030 192667 219248 274060 385334 548120 770668 963335 1096240 1541336 1926670 3082672 3853340 7706680 13679357 15413360 27358714 37184731 54717428 68396785 74369462 109434856 136793570 148738924 185923655 218869712 273587140 297477848 371847310 547174280 594955696 743694620 1094348560 1487389240 2640115901 2974778480 5280231802 10560463604 13200579505 21120927208 26401159010 42241854416 52802318020 105604636040 211209272080