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999065664 = 26344392
BaseRepresentation
bin111011100011001…
…000100001000000
32120121220210110000
4323203020201000
54021230100124
6243045240000
733520626612
oct7343104100
92517823400
10999065664
11472a45903
1223a703000
1312bca0b1c
1496986db2
155ca996c9
hex3b8c8840

999065664 has 105 divisors (see below), whose sum is σ = 2968305087. Its totient is φ = 332263296.

The previous prime is 999065647. The next prime is 999065671. The reversal of 999065664 is 466560999.

It can be divided in two parts, 99906 and 5664, that added together give a triangular number (105570 = T459).

It is a happy number.

The square root of 999065664 is 31608.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 999065664.

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 14 ways as a sum of consecutive naturals, for example, 2275557 + ... + 2275995.

Almost surely, 2999065664 is an apocalyptic number.

999065664 is the 31608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 999065664

999065664 is an abundant number, since it is smaller than the sum of its proper divisors (1969239423).

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

999065664 is an frugal number, since it uses more digits than its factorization.

999065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The cubic root of 999065664 is about 999.6884576181.

The spelling of 999065664 in words is "nine hundred ninety-nine million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 439 576 648 864 878 1296 1317 1728 1756 2592 2634 3512 3951 5184 5268 7024 7902 10536 11853 14048 15804 21072 23706 28096 31608 35559 42144 47412 63216 71118 84288 94824 126432 142236 189648 192721 252864 284472 379296 385442 568944 578163 758592 770884 1137888 1156326 1541768 1734489 2275776 2312652 3083536 3468978 4625304 5203467 6167072 6937956 9250608 10406934 12334144 13875912 15610401 18501216 20813868 27751824 31220802 37002432 41627736 55503648 62441604 83255472 111007296 124883208 166510944 249766416 333021888 499532832 999065664