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8345630016 = 263337130531
BaseRepresentation
bin1111100010111000…
…00011010101000000
3210112121202221011000
413301130003111000
5114042440130031
63500043452000
7413545453563
oct76134032500
923477687130
108345630016
1135a2988399
12174ab27000
13a30029219
145925584da
1533ca1e3e6
hex1f1703540

8345630016 has 112 divisors (see below), whose sum is σ = 25197897280. Its totient is φ = 2706670080.

The previous prime is 8345630009. The next prime is 8345630057. The reversal of 8345630016 is 6100365438.

8345630016 is a `hidden beast` number, since 8 + 3 + 4 + 5 + 630 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330 + ... + 129201.

Almost surely, 28345630016 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 8345630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598948640).

8345630016 is an abundant number, since it is smaller than the sum of its proper divisors (16852267264).

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

8345630016 is a wasteful number, since it uses less digits than its factorization.

8345630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130589 (or 130573 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8345630016 is about 91354.4197945562. The cubic root of 8345630016 is about 2028.3973872015.

The spelling of 8345630016 in words is "eight billion, three hundred forty-five million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 21312 31968 63936 130531 261062 391593 522124 783186 1044248 1174779 1566372 2088496 2349558 3132744 3524337 4176992 4699116 4829647 6265488 7048674 8353984 9398232 9659294 12530976 14097348 14488941 18796464 19318588 25061952 28194696 28977882 37592928 38637176 43466823 56389392 57955764 75185856 77274352 86933646 112778784 115911528 130400469 154548704 173867292 225557568 231823056 260800938 309097408 347734584 463646112 521601876 695469168 927292224 1043203752 1390938336 2086407504 2781876672 4172815008 8345630016