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13844453076 = 223267285669
BaseRepresentation
bin11001110010011000…
…11001011011010100
31022201211210002022100
430321030121123110
5211323134444301
610205434402100
71000035623646
oct147114313324
938654702270
1013844453076
115964918563
122824590330
1313c831a28c
14954986896
1556065a286
hex3393196d4

13844453076 has 54 divisors (see below), whose sum is σ = 35526235290. Its totient is φ = 4545886752.

The previous prime is 13844453069. The next prime is 13844453099. The reversal of 13844453076 is 67035444831.

13844453076 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 44 + 530 + 76 = 666.

13844453076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11780931600 + 2063521476 = 108540^2 + 45426^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118770 + ... + 204438.

Almost surely, 213844453076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13844453076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763117645).

13844453076 is an abundant number, since it is smaller than the sum of its proper divisors (21681782214).

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

13844453076 is a wasteful number, since it uses less digits than its factorization.

13844453076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85813 (or 85741 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13844453076 in words is "thirteen billion, eight hundred forty-four million, four hundred fifty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4489 8978 13467 17956 26934 40401 53868 80802 85669 161604 171338 257007 342676 514014 771021 1028028 1542042 3084084 5739823 11479646 17219469 22959292 34438938 51658407 68877876 103316814 206633628 384568141 769136282 1153704423 1538272564 2307408846 3461113269 4614817692 6922226538 13844453076