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13813990848 = 26327293137103
BaseRepresentation
bin11001101110110000…
…01100010111000000
31022122201110102222200
430313120030113000
5211242340201343
610202425433200
7666215661540
oct146730142700
938581412880
1013813990848
115949701869
12281633b800
1313c1c12aa8
149508d7320
1555cb3e4d3
hex33760c5c0

13813990848 has 672 divisors, whose sum is σ = 50110095360. Its totient is φ = 3553320960.

The previous prime is 13813990777. The next prime is 13813990903. The reversal of 13813990848 is 84809931831.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13813990794 and 13813990803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134116365 + ... + 134116467.

Almost surely, 213813990848 is an apocalyptic number.

13813990848 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 13813990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055047680).

13813990848 is an abundant number, since it is smaller than the sum of its proper divisors (36296104512).

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

13813990848 is a wasteful number, since it uses less digits than its factorization.

13813990848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 13813990848 in words is "thirteen billion, eight hundred thirteen million, nine hundred ninety thousand, eight hundred forty-eight".