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23829550141 is a prime number
BaseRepresentation
bin10110001100010110…
…100001010000111101
32021111201111120110011
4112030112201100331
5342300331101031
614540325543221
71502342556055
oct261426412075
967451446404
1023829550141
11a1191837a1
124750574b11
132329bba337
141220b4a565
159470726b1
hex58c5a143d

23829550141 has 2 divisors, whose sum is σ = 23829550142. Its totient is φ = 23829550140.

The previous prime is 23829550127. The next prime is 23829550163. The reversal of 23829550141 is 14105592832.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22044825625 + 1784724516 = 148475^2 + 42246^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23829550141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23829550094 and 23829550103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23829550111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11914775070 + 11914775071.

It is an arithmetic number, because the mean of its divisors is an integer number (11914775071).

Almost surely, 223829550141 is an apocalyptic number.

It is an amenable number.

23829550141 is a deficient number, since it is larger than the sum of its proper divisors (1).

23829550141 is an equidigital number, since it uses as much as digits as its factorization.

23829550141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 23829550141 in words is "twenty-three billion, eight hundred twenty-nine million, five hundred fifty thousand, one hundred forty-one".