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2047010144 = 251923914087
BaseRepresentation
bin111101000000010…
…1110010101100000
312021122210220000112
41322000232111200
513143013311034
6535042310452
7101504204414
oct17200562540
95248726015
102047010144
11960536023
12491658428
1326812690a
14155c14d44
15bea9b7ce
hex7a02e560

2047010144 has 48 divisors (see below), whose sum is σ = 4260211200. Its totient is φ = 965510784.

The previous prime is 2047010113. The next prime is 2047010167. The reversal of 2047010144 is 4410107402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138269 + ... + 152355.

It is an arithmetic number, because the mean of its divisors is an integer number (88754400).

Almost surely, 22047010144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130105600).

2047010144 is an abundant number, since it is smaller than the sum of its proper divisors (2213201056).

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

2047010144 is a wasteful number, since it uses less digits than its factorization.

2047010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355 (or 14347 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2047010144 is about 45243.8962071128. The cubic root of 2047010144 is about 1269.7162124503.

Adding to 2047010144 its reverse (4410107402), we get a palindrome (6457117546).

The spelling of 2047010144 in words is "two billion, forty-seven million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 239 304 478 608 956 1912 3824 4541 7648 9082 14087 18164 28174 36328 56348 72656 112696 145312 225392 267653 450784 535306 1070612 2141224 3366793 4282448 6733586 8564896 13467172 26934344 53868688 63969067 107737376 127938134 255876268 511752536 1023505072 2047010144