Search a number
-
+
13028399616 = 293171633061
BaseRepresentation
bin11000010001000110…
…11001101000000000
31020121222020021102010
430020203121220000
5203140232241431
65552443452520
7640566366231
oct141043315000
936558207363
1013028399616
115586212511
122637227140
1312c82363cb
148b843d088
15513bb1846
hex3088d9a00

13028399616 has 160 divisors (see below), whose sum is σ = 36987686208. Its totient is φ = 4060938240.

The previous prime is 13028399603. The next prime is 13028399639. The reversal of 13028399616 is 61699382031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254726 + ... + 4257786.

Almost surely, 213028399616 is an apocalyptic number.

13028399616 is a gapful number since it is divisible by the number (16) 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 13028399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493843104).

13028399616 is an abundant number, since it is smaller than the sum of its proper divisors (23959286592).

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

13028399616 is a wasteful number, since it uses less digits than its factorization.

13028399616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 13028399616 in words is "thirteen billion, twenty-eight million, three hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 163 192 204 256 272 326 384 408 489 512 544 652 768 816 978 1088 1304 1536 1632 1956 2176 2608 2771 3061 3264 3912 4352 5216 5542 6122 6528 7824 8313 8704 9183 10432 11084 12244 13056 15648 16626 18366 20864 22168 24488 26112 31296 33252 36732 41728 44336 48976 52037 62592 66504 73464 83456 88672 97952 104074 125184 133008 146928 156111 177344 195904 208148 250368 266016 293856 312222 354688 391808 416296 498943 532032 587712 624444 709376 783616 832592 997886 1064064 1175424 1248888 1418752 1496829 1567232 1665184 1995772 2128128 2350848 2497776 2993658 3330368 3991544 4256256 4701696 4995552 5987316 6660736 7983088 8482031 9991104 11974632 13321472 15966176 16964062 19982208 23949264 25446093 26642944 31932352 33928124 39964416 47898528 50892186 63864704 67856248 79928832 95797056 101784372 127729408 135712496 191594112 203568744 255458816 271424992 383188224 407137488 542849984 766376448 814274976 1085699968 1628549952 2171399936 3257099904 4342799872 6514199808 13028399616