Search a number
-
+
252407916831 = 3729341021927
BaseRepresentation
bin1110101100010010101…
…1110010100100011111
3220010111202000201001010
43223010223302210133
513113412411314311
6311542105350303
724143621615310
oct3530453624437
9803452021033
10252407916831
1198055763864
1240b02a98393
131aa56bba155
14c306532607
156874405da6
hex3ac4af291f

252407916831 has 16 divisors (see below), whose sum is σ = 385934298624. Its totient is φ = 143740828704.

The previous prime is 252407916791. The next prime is 252407916863. The reversal of 252407916831 is 138619704252.

It is not a de Polignac number, because 252407916831 - 26 = 252407916767 is a prime.

It is a super-2 number, since 2×2524079168312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252407906831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20504811 + ... + 20517116.

It is an arithmetic number, because the mean of its divisors is an integer number (24120893664).

It is a 1-persistent number, because it is pandigital, but 2⋅252407916831 = 504815833662 is not.

Almost surely, 2252407916831 is an apocalyptic number.

252407916831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

252407916831 is a deficient number, since it is larger than the sum of its proper divisors (133526381793).

252407916831 is a wasteful number, since it uses less digits than its factorization.

252407916831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41022230.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 252407916831 in words is "two hundred fifty-two billion, four hundred seven million, nine hundred sixteen thousand, eight hundred thirty-one".

Divisors: 1 3 7 21 293 879 2051 6153 41021927 123065781 287153489 861460467 12019424611 36058273833 84135972277 252407916831