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13896446976 = 210323783491
BaseRepresentation
bin11001111000100101…
…01111010000000000
31022212110121122112100
430330102233100000
5211424442300401
610214533030400
71001236564446
oct147422572000
938773548470
1013896446976
115991200325
122839a85400
1314060230b9
1495b83cb96
15564ecab86
hex33c4af400

13896446976 has 264 divisors, whose sum is σ = 41791617504. Its totient is φ = 4443586560.

The previous prime is 13896446947. The next prime is 13896447001. The reversal of 13896446976 is 67964469831.

13896446976 is a `hidden beast` number, since 1 + 38 + 96 + 446 + 9 + 76 = 666.

It is a super-2 number, since 2×138964469762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28302091 + ... + 28302581.

Almost surely, 213896446976 is an apocalyptic number.

13896446976 is a gapful number since it is divisible by the number (16) 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 13896446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895808752).

13896446976 is an abundant number, since it is smaller than the sum of its proper divisors (27895170528).

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

13896446976 is a wasteful number, since it uses less digits than its factorization.

13896446976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 13896446976 in words is "thirteen billion, eight hundred ninety-six million, four hundred forty-six thousand, nine hundred seventy-six".