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10673369088 = 21232693229
BaseRepresentation
bin10011111000010111…
…01011000000000000
31000112211211022212020
421330023223000000
5133324340302323
64523035201440
7525332066064
oct117413530000
930484738766
1010673369088
114587925198
12209a5a6280
131011364215
14733767aa4
1542706eae3
hex27c2eb000

10673369088 has 104 divisors (see below), whose sum is σ = 28573484400. Its totient is φ = 3543465984.

The previous prime is 10673369087. The next prime is 10673369117. The reversal of 10673369088 is 88096337601.

It is a super-2 number, since 2×106733690882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10673369088.

It is not an unprimeable number, because it can be changed into a prime (10673369081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3303858 + ... + 3307086.

Almost surely, 210673369088 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 10673369088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286742200).

10673369088 is an abundant number, since it is smaller than the sum of its proper divisors (17900115312).

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

10673369088 is an equidigital number, since it uses as much as digits as its factorization.

10673369088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 10673369088 in words is "ten billion, six hundred seventy-three million, three hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 512 538 768 807 1024 1076 1536 1614 2048 2152 3072 3228 3229 4096 4304 6144 6456 6458 8608 9687 12288 12912 12916 17216 19374 25824 25832 34432 38748 51648 51664 68864 77496 103296 103328 137728 154992 206592 206656 275456 309984 413184 413312 550912 619968 826368 826624 868601 1101824 1239936 1652736 1653248 1737202 2479872 2605803 3305472 3306496 3474404 4959744 5211606 6612992 6948808 9919488 10423212 13225984 13897616 19838976 20846424 27795232 39677952 41692848 55590464 83385696 111180928 166771392 222361856 333542784 444723712 667085568 889447424 1334171136 1778894848 2668342272 3557789696 5336684544 10673369088