Search a number
-
+
13773731840 = 211511177193
BaseRepresentation
bin11001101001111101…
…00111100000000000
31022112220201002000022
430310332213200000
5211202033404330
610154430513012
7665216534411
oct146476474000
938486632008
1013773731840
115928a04660
122804965768
1313b67883ab
14949417808
1555933aae5
hex334fa7800

13773731840 has 192 divisors, whose sum is σ = 38179421280. Its totient is φ = 4713349120.

The previous prime is 13773731827. The next prime is 13773731843. The reversal of 13773731840 is 4813737731.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 13773731791 and 13773731800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13773731843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911284 + ... + 1918476.

Almost surely, 213773731840 is an apocalyptic number.

13773731840 is a gapful number since it is divisible by the number (10) 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 13773731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19089710640).

13773731840 is an abundant number, since it is smaller than the sum of its proper divisors (24405689440).

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

13773731840 is a wasteful number, since it uses less digits than its factorization.

13773731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 13773731840 in words is "thirteen billion, seven hundred seventy-three million, seven hundred thirty-one thousand, eight hundred forty".