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20349195264 = 2103271137227
BaseRepresentation
bin10010111100111010…
…000001010000000000
31221112011121020002200
4102330322001100000
5313133343222024
613203121513200
71320162206616
oct227472012000
957464536080
1020349195264
1186a2654652
123b3aaa2800
131bc3b3b758
14db08236b6
157e17462c9
hex4bce81400

20349195264 has 264 divisors, whose sum is σ = 60284772288. Its totient is φ = 6609469440.

The previous prime is 20349195239. The next prime is 20349195271. The reversal of 20349195264 is 46259194302.

20349195264 is a `hidden beast` number, since 2 + 0 + 34 + 91 + 9 + 526 + 4 = 666.

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, 89643919 + ... + 89644145.

Almost surely, 220349195264 is an apocalyptic number.

20349195264 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 20349195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30142386144).

20349195264 is an abundant number, since it is smaller than the sum of its proper divisors (39935577024).

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

20349195264 is a wasteful number, since it uses less digits than its factorization.

20349195264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20349195264 in words is "twenty billion, three hundred forty-nine million, one hundred ninety-five thousand, two hundred sixty-four".