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995345568 = 25327677369
BaseRepresentation
bin111011010100111…
…100010010100000
32120100220210102200
4323110330102200
54014302024233
6242433413200
733444204060
oct7324742240
92510823380
10995345568
11470934948
1223940a200
1312b29a799
14962993a0
155c5b2313
hex3b53c4a0

995345568 has 144 divisors (see below), whose sum is σ = 3283600320. Its totient is φ = 280101888.

The previous prime is 995345531. The next prime is 995345579. The reversal of 995345568 is 865543599.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131388 + ... + 138756.

It is an arithmetic number, because the mean of its divisors is an integer number (22802780).

Almost surely, 2995345568 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 995345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641800160).

995345568 is an abundant number, since it is smaller than the sum of its proper divisors (2288254752).

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

995345568 is a wasteful number, since it uses less digits than its factorization.

995345568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7459 (or 7448 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 995345568 is about 31549.0977367024. The cubic root of 995345568 is about 998.4461093411.

The spelling of 995345568 in words is "nine hundred ninety-five million, three hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1206 1407 1608 1876 2016 2144 2412 2814 3216 3752 4221 4824 5628 6432 7369 7504 8442 9648 11256 14738 15008 16884 19296 22107 22512 29476 33768 44214 45024 51583 58952 66321 67536 88428 103166 117904 132642 135072 154749 176856 206332 235808 265284 309498 353712 412664 464247 493723 530568 618996 707424 825328 928494 987446 1061136 1237992 1481169 1650656 1856988 1974892 2122272 2475984 2962338 3456061 3713976 3949784 4443507 4951968 5924676 6912122 7427952 7899568 8887014 10368183 11849352 13824244 14855904 15799136 17774028 20736366 23698704 27648488 31104549 35548056 41472732 47397408 55296976 62209098 71096112 82945464 110593952 124418196 142192224 165890928 248836392 331781856 497672784 995345568