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13013025552 = 2432537323357
BaseRepresentation
bin11000001111010001…
…10000001100010000
31020120220022012011100
430013220300030100
5203122313304202
65551134144400
7640321615002
oct140750601420
936526265140
1013013025552
11557857177a
122632052100
1312c4cb2727
148b639a372
1551267641c
hex307a30310

13013025552 has 120 divisors (see below), whose sum is σ = 37615442904. Its totient is φ = 4197353472.

The previous prime is 13013025511. The next prime is 13013025569. The reversal of 13013025552 is 25552031031.

It is a happy number.

13013025552 is a `hidden beast` number, since 1 + 301 + 302 + 5 + 5 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 7491941136 = 74304^2 + 86556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545458 + ... + 568814.

Almost surely, 213013025552 is an apocalyptic number.

13013025552 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 13013025552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807721452).

13013025552 is an abundant number, since it is smaller than the sum of its proper divisors (24602417352).

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

13013025552 is a wasteful number, since it uses less digits than its factorization.

13013025552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23497 (or 23488 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 13013025552 its reverse (25552031031), we get a palindrome (38565056583).

The spelling of 13013025552 in words is "thirteen billion, thirteen million, twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 73 106 144 146 159 212 219 292 318 424 438 477 584 636 657 848 876 954 1168 1272 1314 1752 1908 2544 2628 3504 3816 3869 5256 7632 7738 10512 11607 15476 23214 23357 30952 34821 46428 46714 61904 69642 70071 92856 93428 139284 140142 185712 186856 210213 278568 280284 373712 420426 557136 560568 840852 1121136 1237921 1681704 1705061 2475842 3363408 3410122 3713763 4951684 5115183 6820244 7427526 9903368 10230366 11141289 13640488 14855052 15345549 19806736 20460732 22282578 27280976 29710104 30691098 40921464 44565156 59420208 61382196 81842928 89130312 90368233 122764392 178260624 180736466 245528784 271104699 361472932 542209398 722945864 813314097 1084418796 1445891728 1626628194 2168837592 3253256388 4337675184 6506512776 13013025552