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13849523856 = 2434724672
BaseRepresentation
bin11001110010111111…
…01111011010010000
31022202012022201010000
430321133233122100
5211330434230411
610210135210000
71000130003400
oct147137573220
938665281100
1013849523856
115967771293
122826216900
1313c93a433c
14955506800
15560d0c956
hex3397ef690

13849523856 has 225 divisors, whose sum is σ = 46729016499. Its totient is φ = 3948533568.

The previous prime is 13849523827. The next prime is 13849523867. The reversal of 13849523856 is 65832594831.

The square root of 13849523856 is 117684.

It is a perfect power (a square), and thus also a powerful number.

13849523856 is a `hidden beast` number, since 1 + 38 + 4 + 9 + 523 + 85 + 6 = 666.

It is a super-2 number, since 2×138495238562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29656135 + ... + 29656601.

Almost surely, 213849523856 is an apocalyptic number.

13849523856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13849523856 is the 117684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13849523856

13849523856 is an abundant number, since it is smaller than the sum of its proper divisors (32879492643).

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

13849523856 is an frugal number, since it uses more digits than its factorization.

13849523856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 479 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 13849523856 in words is "thirteen billion, eight hundred forty-nine million, five hundred twenty-three thousand, eight hundred fifty-six".