Search a number
-
+
69064151040 = 212345173179
BaseRepresentation
bin100000001010010001…
…0110101000000000000
320121021012101101110000
41000110202311000000
52112420410313130
651421100240000
74663321412013
oct1002442650000
9217235341400
1069064151040
1127320a04985
1211475540000
1366885ab981
1434b260737a
151be33a2260
hex10148b5000

69064151040 has 1040 divisors, whose sum is σ = 274022369280. Its totient is φ = 16562257920.

The previous prime is 69064151027. The next prime is 69064151041. The reversal of 69064151040 is 4015146096.

69064151040 is a `hidden beast` number, since 6 + 9 + 0 + 641 + 5 + 1 + 0 + 4 + 0 = 666.

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 = 69064150986 and 69064151004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69064151041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 874229721 + ... + 874229799.

Almost surely, 269064151040 is an apocalyptic number.

69064151040 is a gapful number since it is divisible by the number (60) 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 69064151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137011184640).

69064151040 is an abundant number, since it is smaller than the sum of its proper divisors (204958218240).

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

69064151040 is a wasteful number, since it uses less digits than its factorization.

69064151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 69064151040 in words is "sixty-nine billion, sixty-four million, one hundred fifty-one thousand, forty".