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13013147808 = 2532419107839
BaseRepresentation
bin11000001111010010…
…01110000010100000
31020120220112101212100
430013221032002200
5203122331212213
65551140530400
7640322634303
oct140751160240
936526471770
1013013147808
115578645611
1226320b0a00
1312c502627b
148b63ccb3a
1551269c773
hex307a4e0a0

13013147808 has 72 divisors (see below), whose sum is σ = 37094803200. Its totient is φ = 4327323264.

The previous prime is 13013147773. The next prime is 13013147813. The reversal of 13013147808 is 80874131031.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66753 + ... + 174591.

It is an arithmetic number, because the mean of its divisors is an integer number (515205600).

Almost surely, 213013147808 is an apocalyptic number.

13013147808 is a gapful number since it is divisible by the number (18) 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 13013147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547401600).

13013147808 is an abundant number, since it is smaller than the sum of its proper divisors (24081655392).

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

13013147808 is a wasteful number, since it uses less digits than its factorization.

13013147808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108274 (or 108263 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 13013147808 its reverse (80874131031), we get a palindrome (93887278839).

The spelling of 13013147808 in words is "thirteen billion, thirteen million, one hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 419 838 1257 1676 2514 3352 3771 5028 6704 7542 10056 13408 15084 20112 30168 40224 60336 107839 120672 215678 323517 431356 647034 862712 970551 1294068 1725424 1941102 2588136 3450848 3882204 5176272 7764408 10352544 15528816 31057632 45184541 90369082 135553623 180738164 271107246 361476328 406660869 542214492 722952656 813321738 1084428984 1445905312 1626643476 2168857968 3253286952 4337715936 6506573904 13013147808