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26952019968 = 212314812
BaseRepresentation
bin11001000110011101…
…110011000000000000
32120120022222110210210
4121012131303000000
5420144204114333
620214231154120
71642616250456
oct310635630000
976508873723
1026952019968
1110480792575
125282215940
132706a81a13
1414397129d6
15a7b258a63
hex646773000

26952019968 has 78 divisors (see below), whose sum is σ = 71911836052. Its totient is φ = 8977940480.

The previous prime is 26952019957. The next prime is 26952019993. The reversal of 26952019968 is 86991025962.

It is a super-2 number, since 2×269520199682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18197788 + ... + 18199268.

Almost surely, 226952019968 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 26952019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35955918026).

26952019968 is an abundant number, since it is smaller than the sum of its proper divisors (44959816084).

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

26952019968 is an frugal number, since it uses more digits than its factorization.

26952019968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 26952019968 in words is "twenty-six billion, nine hundred fifty-two million, nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1481 1536 2048 2962 3072 4096 4443 5924 6144 8886 11848 12288 17772 23696 35544 47392 71088 94784 142176 189568 284352 379136 568704 758272 1137408 1516544 2193361 2274816 3033088 4386722 4549632 6066176 6580083 8773444 9099264 13160166 17546888 18198528 26320332 35093776 52640664 70187552 105281328 140375104 210562656 280750208 421125312 561500416 842250624 1123000832 1684501248 2246001664 3369002496 4492003328 6738004992 8984006656 13476009984 26952019968