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271344989680 = 24541683312107
BaseRepresentation
bin1111110010110101101…
…0111111010111110000
3221221101111110200100121
43330231122333113300
513421203304132210
6324353144500024
725414116233242
oct3745532772760
9857344420317
10271344989680
11a5093199996
1244708a7a614
131c7842c44bb
14d1c15aa092
1570d1bb06da
hex3f2d6bf5f0

271344989680 has 80 divisors (see below), whose sum is σ = 646412314464. Its totient is φ = 105866485760.

The previous prime is 271344989651. The next prime is 271344989689. The reversal of 271344989680 is 86989443172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271344989689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22406187 + ... + 22418293.

Almost surely, 2271344989680 is an apocalyptic number.

271344989680 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 271344989680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323206157232).

271344989680 is an abundant number, since it is smaller than the sum of its proper divisors (375067324784).

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

271344989680 is a wasteful number, since it uses less digits than its factorization.

271344989680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18994 (or 18988 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 271344989680 in words is "two hundred seventy-one billion, three hundred forty-four million, nine hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 6833 12107 13666 24214 27332 34165 48428 54664 60535 68330 96856 109328 121070 136660 193712 242140 273320 280153 484280 496387 546640 560306 968560 992774 1120612 1400765 1985548 2241224 2481935 2801530 3971096 4482448 4963870 5603060 7942192 9927740 11206120 19855480 22412240 39710960 82727131 165454262 330908524 413635655 661817048 827271310 1323634096 1654542620 3309085240 3391812371 6618170480 6783624742 13567249484 16959061855 27134498968 33918123710 54268997936 67836247420 135672494840 271344989680