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13389547968 = 263322334747
BaseRepresentation
bin11000111100001010…
…00100100111000000
31021120010210111211000
430132011010213000
5204410211013333
610052344252000
7652543164666
oct143605044700
937503714730
1013389547968
115751061625
122718171000
131354cc3a64
149103acc36
1553574d713
hex31e1449c0

13389547968 has 112 divisors (see below), whose sum is σ = 39540444160. Its totient is φ = 4443040512.

The previous prime is 13389547949. The next prime is 13389548089. The reversal of 13389547968 is 86974598331.

13389547968 is a `hidden beast` number, since 1 + 3 + 3 + 89 + 547 + 9 + 6 + 8 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 367971 + ... + 402717.

It is an arithmetic number, because the mean of its divisors is an integer number (353039680).

Almost surely, 213389547968 is an apocalyptic number.

13389547968 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 13389547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770222080).

13389547968 is an abundant number, since it is smaller than the sum of its proper divisors (26150896192).

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

13389547968 is a wasteful number, since it uses less digits than its factorization.

13389547968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34991 (or 34975 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 13389547968 in words is "thirteen billion, three hundred eighty-nine million, five hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 223 288 432 446 576 669 864 892 1338 1728 1784 2007 2676 3568 4014 5352 6021 7136 8028 10704 12042 14272 16056 21408 24084 32112 34747 42816 48168 64224 69494 96336 104241 128448 138988 192672 208482 277976 312723 385344 416964 555952 625446 833928 938169 1111904 1250892 1667856 1876338 2223808 2501784 3335712 3752676 5003568 6671424 7505352 7748581 10007136 15010704 15497162 20014272 23245743 30021408 30994324 46491486 60042816 61988648 69737229 92982972 123977296 139474458 185965944 209211687 247954592 278948916 371931888 418423374 495909184 557897832 743863776 836846748 1115795664 1487727552 1673693496 2231591328 3347386992 4463182656 6694773984 13389547968