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13800409392 = 2437211737307
BaseRepresentation
bin11001101101001000…
…11000100100110000
31022121202220102201210
430312210120210300
5211230401100032
610201222400120
7665662354500
oct146644304460
938552812653
1013800409392
115941a75920
122811890040
1313bc169023
1494cb9da00
1555b85a2cc
hex336918930

13800409392 has 240 divisors, whose sum is σ = 45867814272. Its totient is φ = 3534935040.

The previous prime is 13800409339. The next prime is 13800409393. The reversal of 13800409392 is 29390400831.

It is a self number, because there is not a number n which added to its sum of digits gives 13800409392.

It is not an unprimeable number, because it can be changed into a prime (13800409393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1885003 + ... + 1892309.

Almost surely, 213800409392 is an apocalyptic number.

13800409392 is a gapful number since it is divisible by the number (12) 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 13800409392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22933907136).

13800409392 is an abundant number, since it is smaller than the sum of its proper divisors (32067404880).

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

13800409392 is a wasteful number, since it uses less digits than its factorization.

13800409392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13800409392 in words is "thirteen billion, eight hundred million, four hundred nine thousand, three hundred ninety-two".