Search a number
-
+
65525670144 = 283311278347
BaseRepresentation
bin111101000001101000…
…100110000100000000
320021010121002221012000
4331001220212010000
52033144032421034
650034014304000
74506534002124
oct750150460400
9207117087160
1065525670144
1125875594900
12108484b8000
13624348b0ac
1432586ad584
151a878e3599
hexf41a26100

65525670144 has 216 divisors, whose sum is σ = 212990604960. Its totient is φ = 19856010240.

The previous prime is 65525670121. The next prime is 65525670151. The reversal of 65525670144 is 44107652556.

65525670144 is a `hidden beast` number, since 6 + 552 + 56 + 7 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×655256701442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65525670144.

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, 797179 + ... + 875525.

Almost surely, 265525670144 is an apocalyptic number.

65525670144 is a gapful number since it is divisible by the number (64) 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 65525670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106495302480).

65525670144 is an abundant number, since it is smaller than the sum of its proper divisors (147464934816).

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

65525670144 is a wasteful number, since it uses less digits than its factorization.

65525670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78394 (or 78363 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 65525670144 in words is "sixty-five billion, five hundred twenty-five million, six hundred seventy thousand, one hundred forty-four".