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13050004992 = 293191393217
BaseRepresentation
bin11000010011101011…
…10100011000000000
31020200110212221102020
430021311310120000
5203211300124432
65554534521440
7641251132533
oct141165643000
936613787366
1013050004992
1155974299a2
122642506280
1312cc85c45b
148bb264a1a
15515a2d22c
hex309d74600

13050004992 has 160 divisors (see below), whose sum is σ = 36870556800. Its totient is φ = 4090134528.

The previous prime is 13050004987. The next prime is 13050005039. The reversal of 13050004992 is 29940005031.

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, 4054968 + ... + 4058184.

It is an arithmetic number, because the mean of its divisors is an integer number (230440980).

Almost surely, 213050004992 is an apocalyptic number.

13050004992 is a gapful number since it is divisible by the number (12) 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 13050004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435278400).

13050004992 is an abundant number, since it is smaller than the sum of its proper divisors (23820551808).

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

13050004992 is a wasteful number, since it uses less digits than its factorization.

13050004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 13050004992 in words is "thirteen billion, fifty million, four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 139 152 192 228 256 278 304 384 417 456 512 556 608 768 834 912 1112 1216 1536 1668 1824 2224 2432 2641 3217 3336 3648 4448 4864 5282 6434 6672 7296 7923 8896 9651 9728 10564 12868 13344 14592 15846 17792 19302 21128 25736 26688 29184 31692 35584 38604 42256 51472 53376 61123 63384 71168 77208 84512 102944 106752 122246 126768 154416 169024 183369 205888 213504 244492 253536 308832 338048 366738 411776 447163 488984 507072 617664 676096 733476 823552 894326 977968 1014144 1235328 1341489 1352192 1466952 1647104 1788652 1955936 2028288 2470656 2682978 2933904 3577304 3911872 4056576 4941312 5365956 5867808 7154608 7823744 8496097 10731912 11735616 14309216 15647488 16992194 21463824 23471232 25488291 28618432 31294976 33984388 42927648 46942464 50976582 57236864 67968776 85855296 93884928 101953164 114473728 135937552 171710592 203906328 228947456 271875104 343421184 407812656 543750208 686842368 815625312 1087500416 1631250624 2175000832 3262501248 4350001664 6525002496 13050004992