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96005716344 = 233322910211901
BaseRepresentation
bin101100101101001100…
…0101111100101111000
3100011210210200201011000
41121122120233211320
53033104430410334
6112034315405000
76636053060436
oct1313230574570
9304723621130
1096005716344
11377967a672a
1216734153760
13909013cba5
14490a797d56
15276d743299
hex165a62f978

96005716344 has 128 divisors (see below), whose sum is σ = 268250472000. Its totient is φ = 31814208000.

The previous prime is 96005716319. The next prime is 96005716349. The reversal of 96005716344 is 44361750069.

96005716344 is a `hidden beast` number, since 9 + 6 + 0 + 0 + 5 + 7 + 1 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96005716344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96005716349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50501794 + ... + 50503694.

Almost surely, 296005716344 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 96005716344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134125236000).

96005716344 is an abundant number, since it is smaller than the sum of its proper divisors (172244755656).

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

96005716344 is a wasteful number, since it uses less digits than its factorization.

96005716344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 96005716344 in words is "ninety-six billion, five million, seven hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1021 1374 1832 1901 2042 2061 2748 3063 3802 4084 4122 5496 5703 6126 6183 7604 8168 8244 9189 11406 12252 12366 15208 16488 17109 18378 22812 24504 24732 27567 34218 36756 45624 49464 51327 55134 68436 73512 102654 110268 136872 205308 220536 233809 410616 435329 467618 701427 870658 935236 1305987 1402854 1741316 1870472 1940921 2104281 2611974 2805708 3482632 3881842 3917961 4208562 5223948 5611416 5822763 6312843 7763684 7835922 8417124 10447896 11645526 11753883 12625686 15527368 15671844 16834248 17468289 23291052 23507766 25251372 31343688 34936578 46582104 47015532 50502744 52404867 69873156 94031064 104809734 139746312 209619468 419238936 444470909 888941818 1333412727 1777883636 2666825454 3555767272 4000238181 5333650908 8000476362 10667301816 12000714543 16000952724 24001429086 32001905448 48002858172 96005716344