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4398113619968 = 22665537
BaseRepresentation
bin100000000000000010000…
…0000000000000000000000
3120120110022002201000222212
41000000010000000000000
51034024314041314333
613204244314321252
7632516232641645
oct100000400000000
916513262630885
104398113619968
111446258530802
125b0473429228
1325b981691673
14112c26b81dcc
1579611e86448
hex40004000000

4398113619968 has 54 divisors (see below), whose sum is σ = 8796361392126. Its totient is φ = 2199023255552.

The previous prime is 4398113619967. The next prime is 4398113619979. The reversal of 4398113619968 is 8699163118934.

It can be written as a sum of positive squares in only one way, i.e., 4398046511104 + 67108864 = 2097152^2 + 8192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4398113619898 and 4398113619907.

It is not an unprimeable number, because it can be changed into a prime (4398113619967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 4398113619968 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67076096 + ... + 67141632.

Almost surely, 24398113619968 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 4398113619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398180696063).

4398113619968 is an abundant number, since it is smaller than the sum of its proper divisors (4398247772158).

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

4398113619968 is an frugal number, since it uses more digits than its factorization.

4398113619968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65589 (or 65539 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 68.

The spelling of 4398113619968 in words is "four trillion, three hundred ninety-eight billion, one hundred thirteen million, six hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 65537 131072 131074 262144 262148 524288 524296 1048576 1048592 2097152 2097184 4194304 4194368 8388608 8388736 16777216 16777472 33554432 33554944 67108864 67109888 134219776 268439552 536879104 1073758208 2147516416 4295032832 8590065664 17180131328 34360262656 68720525312 137441050624 274882101248 549764202496 1099528404992 2199056809984 4398113619968