Search a number
-
+
13054335882 = 2372793791483
BaseRepresentation
bin11000010100001100…
…10101101110001010
31020200210000222021120
430022012111232022
5203213402222012
65555211420110
7641333011200
oct141206255612
936623028246
1013054335882
115599917845
122643a54636
131300717803
148bba71070
155160d658c
hex30a195b8a

13054335882 has 96 divisors (see below), whose sum is σ = 30857702400. Its totient is φ = 3670404192.

The previous prime is 13054335881. The next prime is 13054335907. The reversal of 13054335882 is 28853345031.

It is a happy number.

It is a super-3 number, since 3×130543358823 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13054335881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8801913 + ... + 8803395.

It is an arithmetic number, because the mean of its divisors is an integer number (321434400).

Almost surely, 213054335882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054335882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428851200).

13054335882 is an abundant number, since it is smaller than the sum of its proper divisors (17803366518).

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

13054335882 is a wasteful number, since it uses less digits than its factorization.

13054335882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 13054335882 in words is "thirteen billion, fifty-four million, three hundred thirty-five thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 379 474 553 758 1106 1137 1483 1659 2274 2653 2966 3318 3871 4449 5306 7742 7959 8898 10381 11613 15918 18571 20762 23226 29941 31143 37142 55713 59882 62286 72667 89823 111426 117157 145334 179646 209587 218001 234314 351471 419174 436002 562057 628761 702942 820099 1124114 1257522 1467109 1640198 1686171 2460297 2934218 3372342 3934399 4401327 4920594 5740693 7868798 8802654 11481386 11803197 17222079 23606394 27540793 34444158 44402503 55081586 82622379 88805006 133207509 165244758 266415018 310817521 621635042 932452563 1864905126 2175722647 4351445294 6527167941 13054335882