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8342971056 = 2433723119953
BaseRepresentation
bin1111100010100011…
…11010001010110000
3210112102202211202000
413301101322022300
5114041300033211
63455510454000
7413514040530
oct76121721260
923472684660
108342971056
1135a1431702
12174a064300
13a2c607b84
145920654c0
1533c696656
hex1f147a2b0

8342971056 has 160 divisors (see below), whose sum is σ = 28558648320. Its totient is φ = 2280047616.

The previous prime is 8342971031. The next prime is 8342971073. The reversal of 8342971056 is 6501792438.

8342971056 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

8342971056 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9576 + ... + 129528.

It is an arithmetic number, because the mean of its divisors is an integer number (178491552).

It is a 1-persistent number, because it is pandigital, but 2⋅8342971056 = 16685942112 is not.

Almost surely, 28342971056 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 8342971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279324160).

8342971056 is an abundant number, since it is smaller than the sum of its proper divisors (20215677264).

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

8342971056 is a wasteful number, since it uses less digits than its factorization.

8342971056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120000 (or 119988 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8342971056 is about 91339.8656447446. The cubic root of 8342971056 is about 2028.1819450919.

The spelling of 8342971056 in words is "eight billion, three hundred forty-two million, nine hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 23184 34776 69552 119953 239906 359859 479812 719718 839671 959624 1079577 1439436 1679342 1919248 2159154 2519013 2758919 2878872 3238731 3358684 4318308 5038026 5517838 5757744 6477462 6717368 7557039 8276757 8636616 10076052 11035676 12954924 13434736 15114078 16553514 17273232 19312433 20152104 22071352 22671117 24830271 25909848 30228156 33107028 38624866 40304208 44142704 45342234 49660542 51819696 57937299 60456312 66214056 74490813 77249732 90684468 99321084 115874598 120912624 132428112 148981626 154499464 173811897 181368936 198642168 231749196 297963252 308998928 347623794 362737872 397284336 463498392 521435691 595926504 695247588 926996784 1042871382 1191853008 1390495176 2085742764 2780990352 4171485528 8342971056