Search a number
-
+
13040894928 = 2432941832753
BaseRepresentation
bin11000010010100110…
…00100001111010000
31020122211202002202110
430021103010033100
5203201432114203
65554011345320
7641110530555
oct141123041720
936584662673
1013040894928
115592277416
12263b452240
1312ca9bc999
148b9d72a2c
15514d2dd03
hex3094c43d0

13040894928 has 160 divisors (see below), whose sum is σ = 36143936640. Its totient is φ = 4043898880.

The previous prime is 13040894927. The next prime is 13040894947. The reversal of 13040894928 is 82949804031.

It is a super-2 number, since 2×130408949282 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040894921) 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 31 ways as a sum of consecutive naturals, for example, 4735600 + ... + 4738352.

It is an arithmetic number, because the mean of its divisors is an integer number (225899604).

Almost surely, 213040894928 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 13040894928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071968320).

13040894928 is an abundant number, since it is smaller than the sum of its proper divisors (23103041712).

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

13040894928 is a wasteful number, since it uses less digits than its factorization.

13040894928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 13040894928 in words is "thirteen billion, forty million, eight hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 83 87 116 123 164 166 174 232 246 249 328 332 348 464 492 498 656 664 696 984 996 1189 1328 1392 1968 1992 2378 2407 2753 3403 3567 3984 4756 4814 5506 6806 7134 7221 8259 9512 9628 10209 11012 13612 14268 14442 16518 19024 19256 20418 22024 27224 28536 28884 33036 38512 40836 44048 54448 57072 57768 66072 79837 81672 98687 112873 115536 132144 159674 163344 197374 225746 228499 239511 296061 319348 338619 394748 451492 456998 479022 592122 638696 677238 685497 789496 902984 913996 958044 1184244 1277392 1354476 1370994 1578992 1805968 1827992 1916088 2368488 2708952 2741988 3273317 3655984 3832176 4736976 5417904 5483976 6546634 6626471 9368459 9819951 10967952 13093268 13252942 18736918 19639902 19879413 26186536 26505884 28105377 37473836 39279804 39758826 52373072 53011768 56210754 74947672 78559608 79517652 106023536 112421508 149895344 157119216 159035304 224843016 271685311 318070608 449686032 543370622 815055933 1086741244 1630111866 2173482488 3260223732 4346964976 6520447464 13040894928