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2047109064 = 2337311133747
BaseRepresentation
bin111101000000100…
…0110011111001000
312021122222220201020
41322001012133020
513143024442224
6535044352440
7101505066000
oct17201063710
95248886636
102047109064
119605a3380
124916a5720
1326815c950
14155c3d000
15beabac79
hex7a0467c8

2047109064 has 512 divisors, whose sum is σ = 7354368000. Its totient is φ = 467389440.

The previous prime is 2047109059. The next prime is 2047109081. The reversal of 2047109064 is 4609017402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43555489 + ... + 43555535.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 22047109064 is an apocalyptic number.

2047109064 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 2047109064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2047109064 is an abundant number, since it is smaller than the sum of its proper divisors (5307258936).

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

2047109064 is a wasteful number, since it uses less digits than its factorization.

2047109064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2047109064 is about 45244.9893800407. The cubic root of 2047109064 is about 1269.7366647678.

It can be divided in two parts, 2047 and 109064, that added together give a palindrome (111111).

The spelling of 2047109064 in words is "two billion, forty-seven million, one hundred nine thousand, sixty-four".