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2047140864 = 2103519433
BaseRepresentation
bin111101000000100…
…1110010000000000
312021200001112100000
41322001032100000
513143032001424
6535045200000
7101505260466
oct17201162000
95250045300
102047140864
1196061525a
12491700000
13268171272
14155c4a836
15beac53c9
hex7a04e400

2047140864 has 264 divisors, whose sum is σ = 6467537440. Its totient is φ = 644972544.

The previous prime is 2047140863. The next prime is 2047140889. The reversal of 2047140864 is 4680417402.

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 (2047140863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727592 + ... + 4728024.

Almost surely, 22047140864 is an apocalyptic number.

2047140864 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 2047140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233768720).

2047140864 is an abundant number, since it is smaller than the sum of its proper divisors (4420396576).

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

2047140864 is an equidigital number, since it uses as much as digits as its factorization.

2047140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2047140864 is about 45245.3407988049. The cubic root of 2047140864 is about 1269.7432394732.

The spelling of 2047140864 in words is "two billion, forty-seven million, one hundred forty thousand, eight hundred sixty-four".