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13051981332 = 22341310928429
BaseRepresentation
bin11000010011111010…
…10110111000010100
31020200121121100110000
430021331112320110
5203212301400312
65555045131300
7641304003465
oct141175267024
936617540400
1013051981332
115598559835
1226430b9b30
1313000a1ba0
148bb61ad6c
15515cbdadc
hex309f56e14

13051981332 has 120 divisors (see below), whose sum is σ = 37083523400. Its totient is φ = 3979010304.

The previous prime is 13051981303. The next prime is 13051981343. The reversal of 13051981332 is 23318915031.

13051981332 is a `hidden beast` number, since 1 + 3 + 0 + 519 + 8 + 133 + 2 = 666.

13051981332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 605455236 + 12446526096 = 24606^2 + 111564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444894 + ... + 473322.

Almost surely, 213051981332 is an apocalyptic number.

13051981332 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 13051981332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541761700).

13051981332 is an abundant number, since it is smaller than the sum of its proper divisors (24031542068).

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

13051981332 is a wasteful number, since it uses less digits than its factorization.

13051981332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28567 (or 28556 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13051981332 in words is "thirteen billion, fifty-one million, nine hundred eighty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 109 117 156 162 218 234 324 327 351 436 468 654 702 981 1053 1308 1404 1417 1962 2106 2834 2943 3924 4212 4251 5668 5886 8502 8829 11772 12753 17004 17658 25506 28429 35316 38259 51012 56858 76518 85287 113716 114777 153036 170574 229554 255861 341148 369577 459108 511722 739154 767583 1023444 1108731 1478308 1535166 2217462 2302749 3070332 3098761 3326193 4434924 4605498 6197522 6652386 9210996 9296283 9978579 12395044 13304772 18592566 19957158 27888849 29935737 37185132 39914316 40283893 55777698 59871474 80567786 83666547 111555396 119742948 120851679 161135572 167333094 241703358 250999641 334666188 362555037 483406716 501999282 725110074 1003998564 1087665111 1450220148 2175330222 3262995333 4350660444 6525990666 13051981332