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13037985856 = 267220392
BaseRepresentation
bin11000010010001111…
…11110000001000000
31020122122021022021001
430021013332001000
5203200211021411
65553425141344
7641044023400
oct141107760100
936578238231
1013037985856
11559066a825
12263a48a854
1312ca21183c
148b9816800
15514956dc1
hex3091fe040

13037985856 has 63 divisors (see below), whose sum is σ = 30111062079. Its totient is φ = 5584967808.

The previous prime is 13037985823. The next prime is 13037985871. The reversal of 13037985856 is 65858973031.

The square root of 13037985856 is 114184.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 13037985797 and 13037985806.

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 8 ways as a sum of consecutive naturals, for example, 6393285 + ... + 6395323.

Almost surely, 213037985856 is an apocalyptic number.

13037985856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13037985856 is the 114184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13037985856

13037985856 is an abundant number, since it is smaller than the sum of its proper divisors (17073076223).

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

13037985856 is an frugal number, since it uses more digits than its factorization.

13037985856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 13037985856 in words is "thirteen billion, thirty-seven million, nine hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2039 3136 4078 8156 14273 16312 28546 32624 57092 65248 99911 114184 130496 199822 228368 399644 456736 799288 913472 1598576 3197152 4157521 6394304 8315042 16630084 29102647 33260168 58205294 66520336 116410588 133040672 203718529 232821176 266081344 407437058 465642352 814874116 931284704 1629748232 1862569408 3259496464 6518992928 13037985856