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13780222848 = 2736717273
BaseRepresentation
bin11001101010101110…
…11000001110000000
31022120100220212000000
430311113120032000
5211210214112343
610155222000000
7665325650550
oct146527301600
938510825000
1013780222848
115931638427
122806b76000
1313b7c1ba22
1494a227160
15559bbded3
hex3355d8380

13780222848 has 672 divisors, whose sum is σ = 50654778960. Its totient is φ = 3654844416.

The previous prime is 13780222837. The next prime is 13780222903. The reversal of 13780222848 is 84822208731.

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

It is a super-2 number, since 2×137802228482 (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 83 ways as a sum of consecutive naturals, for example, 188770140 + ... + 188770212.

Almost surely, 213780222848 is an apocalyptic number.

13780222848 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 13780222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327389480).

13780222848 is an abundant number, since it is smaller than the sum of its proper divisors (36874556112).

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

13780222848 is an frugal number, since it uses more digits than its factorization.

13780222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 13780222848 in words is "thirteen billion, seven hundred eighty million, two hundred twenty-two thousand, eight hundred forty-eight".