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345591976129 is a prime number
BaseRepresentation
bin1010000011101101110…
…00110001000011000001
31020001000220021101101121
411001312320301003001
521130233021214004
6422432431232241
733653043220501
oct5016670610301
91201026241347
10345591976129
1112362372a814
1256b8a078681
132678758938a
1412a26269a01
158eca082854
hex5076e310c1

345591976129 has 2 divisors, whose sum is σ = 345591976130. Its totient is φ = 345591976128.

The previous prime is 345591976127. The next prime is 345591976157. The reversal of 345591976129 is 921679195543.

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., 225511014400 + 120080961729 = 474880^2 + 346527^2 .

It is a cyclic number.

It is not a de Polignac number, because 345591976129 - 21 = 345591976127 is a prime.

Together with 345591976127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (345591976127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172795988064 + 172795988065.

It is an arithmetic number, because the mean of its divisors is an integer number (172795988065).

Almost surely, 2345591976129 is an apocalyptic number.

It is an amenable number.

345591976129 is a deficient number, since it is larger than the sum of its proper divisors (1).

345591976129 is an equidigital number, since it uses as much as digits as its factorization.

345591976129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18370800, while the sum is 61.

The spelling of 345591976129 in words is "three hundred forty-five billion, five hundred ninety-one million, nine hundred seventy-six thousand, one hundred twenty-nine".