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13437506048 = 294721092
BaseRepresentation
bin11001000001111000…
…00001001000000000
31021200111001000221012
430200330001020000
5210010000143143
610101220220052
7653664626321
oct144074011000
937614030835
1013437506048
1157761381aa
12273023a628
131361c15915
149168d4448
15539a73418
hex320f01200

13437506048 has 90 divisors (see below), whose sum is σ = 27686151801. Its totient is φ = 6515472384.

The previous prime is 13437506041. The next prime is 13437506051. The reversal of 13437506048 is 84060573431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12894056704 + 543449344 = 113552^2 + 23312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81968.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13437505996 and 13437506014.

It is not an unprimeable number, because it can be changed into a prime (13437506041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123279818 + ... + 123279926.

Almost surely, 213437506048 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 13437506048

13437506048 is an abundant number, since it is smaller than the sum of its proper divisors (14248645753).

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

13437506048 is an frugal number, since it uses more digits than its factorization.

13437506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 13437506048 in words is "thirteen billion, four hundred thirty-seven million, five hundred six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 109 128 188 218 256 376 436 512 752 872 1504 1744 2209 3008 3488 4418 5123 6016 6976 8836 10246 11881 12032 13952 17672 20492 23762 24064 27904 35344 40984 47524 55808 70688 81968 95048 141376 163936 190096 240781 282752 327872 380192 481562 558407 565504 655744 760384 963124 1116814 1131008 1311488 1520768 1926248 2233628 2622976 3041536 3852496 4467256 6083072 7704992 8934512 15409984 17869024 26245129 30819968 35738048 52490258 61639936 71476096 104980516 123279872 142952192 209961032 285904384 419922064 839844128 1679688256 3359376512 6718753024 13437506048