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71018313216 = 293591017759
BaseRepresentation
bin100001000100100000…
…1010111011000000000
320210022101111002222220
41002021001113120000
52130421142010331
652343024531040
75062620462564
oct1021101273000
9223271432886
1071018313216
1128133a93944
121191ba80a80
13690a3c7256
143619d6d6a4
151ca9c0d296
hex1089057600

71018313216 has 160 divisors (see below), whose sum is σ = 194333990400. Its totient is φ = 23038156800.

The previous prime is 71018313209. The next prime is 71018313241. The reversal of 71018313216 is 61231381017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9149145 + ... + 9156903.

It is an arithmetic number, because the mean of its divisors is an integer number (1214587440).

Almost surely, 271018313216 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 71018313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97166995200).

71018313216 is an abundant number, since it is smaller than the sum of its proper divisors (123315677184).

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

71018313216 is a wasteful number, since it uses less digits than its factorization.

71018313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7940 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 71018313216 in words is "seventy-one billion, eighteen million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 101 118 128 177 192 202 236 256 303 354 384 404 472 512 606 708 768 808 944 1212 1416 1536 1616 1888 2424 2832 3232 3776 4848 5664 5959 6464 7552 7759 9696 11328 11918 12928 15104 15518 17877 19392 22656 23277 23836 25856 30208 31036 35754 38784 45312 46554 47672 51712 62072 71508 77568 90624 93108 95344 124144 143016 155136 186216 190688 248288 286032 372432 381376 457781 496576 572064 744864 762752 783659 915562 993152 1144128 1373343 1489728 1525504 1567318 1831124 1986304 2288256 2350977 2746686 2979456 3051008 3134636 3662248 3972608 4576512 4701954 5493372 5958912 6269272 7324496 9153024 9403908 10986744 11917824 12538544 14648992 18807816 21973488 25077088 29297984 37615632 43946976 46235881 50154176 58595968 75231264 87893952 92471762 100308352 117191936 138707643 150462528 175787904 184943524 200616704 234383872 277415286 300925056 351575808 369887048 401233408 554830572 601850112 703151616 739774096 1109661144 1203700224 1479548192 2219322288 2959096384 4438644576 5918192768 8877289152 11836385536 17754578304 23672771072 35509156608 71018313216