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29335216957 is a prime number
BaseRepresentation
bin11011010100100000…
…111110001100111101
32210201102101102110221
4123110200332030331
5440034303420312
621250523301341
72055645141604
oct332440761475
983642342427
1029335216957
1111493a68762
12582837a851
1329c6736457
1415c403aa3b
15b6a5b1207
hex6d483e33d

29335216957 has 2 divisors, whose sum is σ = 29335216958. Its totient is φ = 29335216956.

The previous prime is 29335216907. The next prime is 29335216961. The reversal of 29335216957 is 75961253392.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21829767001 + 7505449956 = 147749^2 + 86634^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29335216957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29335216907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14667608478 + 14667608479.

It is an arithmetic number, because the mean of its divisors is an integer number (14667608479).

Almost surely, 229335216957 is an apocalyptic number.

It is an amenable number.

29335216957 is a deficient number, since it is larger than the sum of its proper divisors (1).

29335216957 is an equidigital number, since it uses as much as digits as its factorization.

29335216957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3061800, while the sum is 52.

The spelling of 29335216957 in words is "twenty-nine billion, three hundred thirty-five million, two hundred sixteen thousand, nine hundred fifty-seven".