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71288839980 = 223251038394583
BaseRepresentation
bin100001001100100100…
…1010101111100101100
320211000020112021221200
41002121021111330230
52131444420334410
652425531125500
75102414066421
oct1023111257454
9224006467850
1071288839980
1128262767686
12119965a3890
136951475a67
143643c6dd48
151cc38493c0
hex1099255f2c

71288839980 has 144 divisors (see below), whose sum is σ = 218650199040. Its totient is φ = 18799249536.

The previous prime is 71288839943. The next prime is 71288839981. The reversal of 71288839980 is 8993888217.

71288839980 is a `hidden beast` number, since 71 + 28 + 88 + 399 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (71288839981) 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 47 ways as a sum of consecutive naturals, for example, 15552769 + ... + 15557351.

It is an arithmetic number, because the mean of its divisors is an integer number (1518404160).

Almost surely, 271288839980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71288839980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109325099520).

71288839980 is an abundant number, since it is smaller than the sum of its proper divisors (147361359060).

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

71288839980 is a wasteful number, since it uses less digits than its factorization.

71288839980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 71288839980 in words is "seventy-one billion, two hundred eighty-eight million, eight hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 839 927 1030 1236 1545 1678 1854 2060 2517 3090 3356 3708 4195 4583 4635 5034 6180 7551 8390 9166 9270 10068 12585 13749 15102 16780 18332 18540 22915 25170 27498 30204 37755 41247 45830 50340 54996 68745 75510 82494 86417 91660 137490 151020 164988 172834 206235 259251 274980 345668 412470 432085 472049 518502 777753 824940 864170 944098 1037004 1296255 1416147 1555506 1728340 1888196 2360245 2592510 2832294 3111012 3845137 3888765 4248441 4720490 5185020 5664588 7080735 7690274 7777530 8496882 9440980 11535411 14161470 15380548 15555060 16993764 19225685 21242205 23070822 28322940 34606233 38451370 42484410 46141644 57677055 69212466 76902740 84968820 115354110 138424932 173031165 230708220 346062330 396049111 692124660 792098222 1188147333 1584196444 1980245555 2376294666 3564441999 3960491110 4752589332 5940736665 7128883998 7920982220 11881473330 14257767996 17822209995 23762946660 35644419990 71288839980