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20434667520 = 211354714153
BaseRepresentation
bin10011000010000000…
…000100100000000000
31221202010102122222210
4103002000010200000
5313322233330040
613215413502120
71322250544101
oct230200044000
957663378883
1020434667520
118736923183
123b63641940
131c08766857
14dbbd123a8
157e8ecb480
hex4c2004800

20434667520 has 192 divisors, whose sum is σ = 66770645760. Its totient is φ = 5332926464.

The previous prime is 20434667501. The next prime is 20434667521. The reversal of 20434667520 is 2576643402.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (20434667521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436764 + ... + 1450916.

It is an arithmetic number, because the mean of its divisors is an integer number (347763780).

Almost surely, 220434667520 is an apocalyptic number.

20434667520 is a gapful number since it is divisible by the number (20) 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 20434667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33385322880).

20434667520 is an abundant number, since it is smaller than the sum of its proper divisors (46335978240).

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

20434667520 is a wasteful number, since it uses less digits than its factorization.

20434667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14230 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 20434667520 in words is "twenty billion, four hundred thirty-four million, six hundred sixty-seven thousand, five hundred twenty".