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71682777480 = 23354215232713
BaseRepresentation
bin100001011000010100…
…0000110000110001000
320212000200210101121110
41002300220012012020
52133301242334410
652533002410320
75115236361306
oct1026050060610
9225020711543
1071682777480
1128445071766
1211a865009a0
1369b4c73a82
1436802d7276
151ce8211720
hex10b0a06188

71682777480 has 128 divisors (see below), whose sum is σ = 216050901120. Its totient is φ = 19026524160.

The previous prime is 71682777479. The next prime is 71682777487. The reversal of 71682777480 is 8477728617.

It is a self number, because there is not a number n which added to its sum of digits gives 71682777480.

It is not an unprimeable number, because it can be changed into a prime (71682777487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26420604 + ... + 26423316.

It is an arithmetic number, because the mean of its divisors is an integer number (1687897665).

Almost surely, 271682777480 is an apocalyptic number.

It is an amenable number.

71682777480 is an abundant number, since it is smaller than the sum of its proper divisors (144368123640).

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

71682777480 is a wasteful number, since it uses less digits than its factorization.

71682777480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 57.

The spelling of 71682777480 in words is "seventy-one billion, six hundred eighty-two million, seven hundred seventy-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 421 523 842 1046 1263 1569 1684 2092 2105 2526 2615 2713 3138 3368 4184 4210 5052 5230 5426 6276 6315 7845 8139 8420 10104 10460 10852 12552 12630 13565 15690 16278 16840 20920 21704 25260 27130 31380 32556 40695 50520 54260 62760 65112 81390 108520 162780 220183 325560 440366 660549 880732 1100915 1142173 1321098 1418899 1761464 2201830 2284346 2642196 2837798 3302745 3426519 4256697 4403660 4568692 5284392 5675596 5710865 6605490 6853038 7094495 8513394 8807320 9137384 11351192 11421730 13210980 13706076 14188990 17026788 17132595 21283485 22843460 26421960 27412152 28377980 34053576 34265190 42566970 45686920 56755960 68530380 85133940 137060760 170267880 597356479 1194712958 1792069437 2389425916 2986782395 3584138874 4778851832 5973564790 7168277748 8960347185 11947129580 14336555496 17920694370 23894259160 35841388740 71682777480