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13132400848 = 2471947131303
BaseRepresentation
bin11000011101100000…
…01000100011010000
31020220012221002021121
430032300020203100
5203343343311343
610011040532024
7643301364640
oct141660104320
936805832247
1013132400848
115629997146
122666021014
13131394b1b8
148c8192520
1551cda6aed
hex30ec088d0

13132400848 has 80 divisors (see below), whose sum is σ = 31260856320. Its totient is φ = 5218466688.

The previous prime is 13132400833. The next prime is 13132400863. The reversal of 13132400848 is 84800423131.

It is an interprime number because it is at equal distance from previous prime (13132400833) and next prime (13132400863).

It is a super-2 number, since 2×131324008482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34365 + ... + 165667.

It is an arithmetic number, because the mean of its divisors is an integer number (390760704).

Almost surely, 213132400848 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 13132400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630428160).

13132400848 is an abundant number, since it is smaller than the sum of its proper divisors (18128455472).

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

13132400848 is a wasteful number, since it uses less digits than its factorization.

13132400848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131384 (or 131378 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 13132400848 its reverse (84800423131), we get a palindrome (97932823979).

The spelling of 13132400848 in words is "thirteen billion, one hundred thirty-two million, four hundred thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 266 304 329 376 532 658 752 893 1064 1316 1786 2128 2632 3572 5264 6251 7144 12502 14288 25004 50008 100016 131303 262606 525212 919121 1050424 1838242 2100848 2494757 3676484 4989514 6171241 7352968 9979028 12342482 14705936 17463299 19958056 24684964 34926598 39916112 43198687 49369928 69853196 86397374 98739856 117253579 139706392 172794748 234507158 279412784 345589496 469014316 691178992 820775053 938028632 1641550106 1876057264 3283100212 6566200424 13132400848