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16679505888 = 2532472415113
BaseRepresentation
bin11111000100010110…
…10000111111100000
31121001102102200122100
433202023100333200
5233124423142023
611355031410400
71130222314023
oct174213207740
947042380570
1016679505888
11708a167711
123295b23a00
13175a79b316
14b432d31ba
156794bac43
hex3e22d0fe0

16679505888 has 144 divisors (see below), whose sum is σ = 48652059456. Its totient is φ = 5417902080.

The previous prime is 16679505881. The next prime is 16679505937. The reversal of 16679505888 is 88850597661.

16679505888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16679505881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259620 + ... + 3264732.

It is an arithmetic number, because the mean of its divisors is an integer number (337861524).

Almost surely, 216679505888 is an apocalyptic number.

16679505888 is a gapful number since it is divisible by the number (18) 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 16679505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24326029728).

16679505888 is an abundant number, since it is smaller than the sum of its proper divisors (31972553568).

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

16679505888 is a wasteful number, since it uses less digits than its factorization.

16679505888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 16679505888 in words is "sixteen billion, six hundred seventy-nine million, five hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 241 282 288 376 423 482 564 723 752 846 964 1128 1446 1504 1692 1928 2169 2256 2892 3384 3856 4338 4512 5113 5784 6768 7712 8676 10226 11327 11568 13536 15339 17352 20452 22654 23136 30678 33981 34704 40904 45308 46017 61356 67962 69408 81808 90616 92034 101943 122712 135924 163616 181232 184068 203886 240311 245424 271848 362464 368136 407772 480622 490848 543696 720933 736272 815544 961244 1087392 1232233 1441866 1472544 1631088 1922488 2162799 2464466 2883732 3262176 3696699 3844976 4325598 4928932 5767464 7393398 7689952 8651196 9857864 11090097 11534928 14786796 17302392 19715728 22180194 23069856 29573592 34604784 39431456 44360388 57914951 59147184 69209568 88720776 115829902 118294368 173744853 177441552 231659804 347489706 354883104 463319608 521234559 694979412 926639216 1042469118 1389958824 1853278432 2084938236 2779917648 4169876472 5559835296 8339752944 16679505888