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8699449968 = 24321110154377
BaseRepresentation
bin10000001101000011…
…10001001001110000
3211110021112211212200
420012201301021300
5120304024344333
63555123223200
7425403050616
oct100641611160
924407484780
108699449968
113764681580
121829517b00
13a8841c041
145c753b6b6
1535db0ec13
hex206871270

8699449968 has 120 divisors (see below), whose sum is σ = 26823144816. Its totient is φ = 2610048000.

The previous prime is 8699449963. The next prime is 8699450003.

It is a happy number.

8699449968 is a `hidden beast` number, since 8 + 6 + 99 + 449 + 96 + 8 = 666.

8699449968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8699449896 and 8699449905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8699449961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132796 + ... + 187172.

Almost surely, 28699449968 is an apocalyptic number.

8699449968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8699449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411572408).

8699449968 is an abundant number, since it is smaller than the sum of its proper divisors (18123694848).

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

8699449968 is a wasteful number, since it uses less digits than its factorization.

8699449968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54503 (or 54494 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The square root of 8699449968 is about 93270.8420032756. The cubic root of 8699449968 is about 2056.6667721362. Note that the first 3 decimals are identical.

The spelling of 8699449968 in words is "eight billion, six hundred ninety-nine million, four hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 132 144 176 198 202 264 303 396 404 528 606 792 808 909 1111 1212 1584 1616 1818 2222 2424 3333 3636 4444 4848 6666 7272 8888 9999 13332 14544 17776 19998 26664 39996 53328 54377 79992 108754 159984 163131 217508 326262 435016 489393 598147 652524 870032 978786 1196294 1305048 1794441 1957572 2392588 2610096 3588882 3915144 4785176 5383323 5492077 7177764 7830288 9570352 10766646 10984154 14355528 16476231 21533292 21968308 28711056 32952462 43066584 43936616 49428693 60412847 65904924 86133168 87873232 98857386 120825694 131809848 181238541 197714772 241651388 263619696 362477082 395429544 483302776 543715623 724954164 790859088 966605552 1087431246 1449908328 2174862492 2899816656 4349724984 8699449968