Search a number
-
+
10295654040 = 2334573712269
BaseRepresentation
bin10011001011010101…
…10011011010011000
3222120112002102020000
421211222303122120
5132041141412130
64421343333000
7513064421040
oct114552633230
928515072200
1010295654040
1144036a02a1
121bb3bb1160
13c810260a9
146d9524720
15403d0e260
hex265ab3698

10295654040 has 320 divisors, whose sum is σ = 40620571200. Its totient is φ = 2289503232.

The previous prime is 10295654029. The next prime is 10295654099. The reversal of 10295654040 is 4045659201.

10295654040 is a `hidden beast` number, since 1 + 0 + 29 + 56 + 540 + 40 = 666.

10295654040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102956540402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10295653986 and 10295654004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 833026 + ... + 845294.

It is an arithmetic number, because the mean of its divisors is an integer number (126939285).

Almost surely, 210295654040 is an apocalyptic number.

10295654040 is a gapful number since it is divisible by the number (10) 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 10295654040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20310285600).

10295654040 is an abundant number, since it is smaller than the sum of its proper divisors (30324917160).

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

10295654040 is a wasteful number, since it uses less digits than its factorization.

10295654040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12336 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10295654040 in words is "ten billion, two hundred ninety-five million, six hundred fifty-four thousand, forty".