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2138669568 = 2934753139
BaseRepresentation
bin111111101111001…
…1000001000000000
312112001021200010000
41333132120020000
513334444411233
6552115040000
7103666251150
oct17736301000
95461250100
102138669568
119a8250112
124b82a0000
13281109c69
14164074760
15c7b54d13
hex7f798200

2138669568 has 400 divisors, whose sum is σ = 7486395840. Its totient is φ = 595206144.

The previous prime is 2138669531. The next prime is 2138669573. The reversal of 2138669568 is 8659668312.

It is a happy number.

2138669568 is a `hidden beast` number, since 2 + 13 + 8 + 6 + 69 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15386043 + ... + 15386181.

Almost surely, 22138669568 is an apocalyptic number.

2138669568 is a gapful number since it is divisible by the number (28) 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 2138669568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743197920).

2138669568 is an abundant number, since it is smaller than the sum of its proper divisors (5347726272).

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

2138669568 is an equidigital number, since it uses as much as digits as its factorization.

2138669568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 2138669568 is about 46245.7518913900. The cubic root of 2138669568 is about 1288.3916353388.

The spelling of 2138669568 in words is "two billion, one hundred thirty-eight million, six hundred sixty-nine thousand, five hundred sixty-eight".