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20346859104 = 25311132234957
BaseRepresentation
bin10010111100110001…
…000110111001100000
31221112000012112111020
4102330301012321200
5313132243442404
613202555445440
71320133306635
oct227461067140
957460175436
1020346859104
1186a12a9440
123b3a156880
131bc3501300
14db03b618c
157e1433ed9
hex4bcc46e60

20346859104 has 288 divisors, whose sum is σ = 65849220864. Its totient is φ = 5442877440.

The previous prime is 20346859079. The next prime is 20346859163. The reversal of 20346859104 is 40195864302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4102194 + ... + 4107150.

It is an arithmetic number, because the mean of its divisors is an integer number (228643128).

Almost surely, 220346859104 is an apocalyptic number.

20346859104 is a gapful number since it is divisible by the number (24) 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 20346859104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32924610432).

20346859104 is an abundant number, since it is smaller than the sum of its proper divisors (45502361760).

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

20346859104 is a wasteful number, since it uses less digits than its factorization.

20346859104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 20346859104 in words is "twenty billion, three hundred forty-six million, eight hundred fifty-nine thousand, one hundred four".