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30638414016 = 26327173114419
BaseRepresentation
bin11100100010001100…
…010001100011000000
32221002020120200202200
4130202030101203000
51000221413222031
622024115313200
72133151136130
oct344214214300
987066520680
1030638414016
1111aa2649a21
125b308ab800
132b73720682
1416a9150ac0
15be4bd38e6
hex7223118c0

30638414016 has 336 divisors, whose sum is σ = 109704591360. Its totient is φ = 7972577280.

The previous prime is 30638413969. The next prime is 30638414017. The reversal of 30638414016 is 61041483603.

It is a happy number.

30638414016 is a `hidden beast` number, since 3 + 0 + 638 + 4 + 1 + 4 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30638414017) 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, 2117655 + ... + 2132073.

It is an arithmetic number, because the mean of its divisors is an integer number (326501760).

Almost surely, 230638414016 is an apocalyptic number.

30638414016 is a gapful number since it is divisible by the number (36) 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 30638414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54852295680).

30638414016 is an abundant number, since it is smaller than the sum of its proper divisors (79066177344).

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

30638414016 is a wasteful number, since it uses less digits than its factorization.

30638414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492 (or 14479 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 30638414016 its reverse (61041483603), we get a palindrome (91679897619).

It can be divided in two parts, 306384 and 14016, that added together give a triangular number (320400 = T800).

The spelling of 30638414016 in words is "thirty billion, six hundred thirty-eight million, four hundred fourteen thousand, sixteen".