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13906713744 = 2434711237383
BaseRepresentation
bin11001111001110011…
…11001110010010000
31022220011221020220000
430330321321302100
5211440104314434
610215541050000
71001423054640
oct147471716220
938804836800
1013906713744
115996a82960
1228413b6900
1314081a9201
1495cd52520
15565d57b99
hex33ce79c90

13906713744 has 800 divisors, whose sum is σ = 53720561664. Its totient is φ = 3366696960.

The previous prime is 13906713731. The next prime is 13906713749. The reversal of 13906713744 is 44731760931.

It is a self number, because there is not a number n which added to its sum of digits gives 13906713744.

It is not an unprimeable number, because it can be changed into a prime (13906713749) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167550727 + ... + 167550809.

Almost surely, 213906713744 is an apocalyptic number.

13906713744 is a gapful number since it is divisible by the number (14) 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 13906713744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860280832).

13906713744 is an abundant number, since it is smaller than the sum of its proper divisors (39813847920).

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

13906713744 is a wasteful number, since it uses less digits than its factorization.

13906713744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13906713744 in words is "thirteen billion, nine hundred six million, seven hundred thirteen thousand, seven hundred forty-four".