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34977913681379 is a prime number
BaseRepresentation
bin1111111001111111011100…
…00111101011010111100011
311120211212002221111122112112
413330333232013223113203
514041034231400301004
6202220344241145535
710240033210502024
oct774775607532743
9146755087448475
1034977913681379
1110166060445529
123b0ab5462b2ab
13166953181b116
1488cd23722c4b
15409cc851ae6e
hex1fcfee1eb5e3

34977913681379 has 2 divisors, whose sum is σ = 34977913681380. Its totient is φ = 34977913681378.

The previous prime is 34977913681357. The next prime is 34977913681397. The reversal of 34977913681379 is 97318631977943.

Together with next prime (34977913681397) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34977913681379 is a prime.

It is not a weakly prime, because it can be changed into another prime (34977913680379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17488956840689 + 17488956840690.

It is an arithmetic number, because the mean of its divisors is an integer number (17488956840690).

Almost surely, 234977913681379 is an apocalyptic number.

34977913681379 is a deficient number, since it is larger than the sum of its proper divisors (1).

34977913681379 is an equidigital number, since it uses as much as digits as its factorization.

34977913681379 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296243648, while the sum is 77.

The spelling of 34977913681379 in words is "thirty-four trillion, nine hundred seventy-seven billion, nine hundred thirteen million, six hundred eighty-one thousand, three hundred seventy-nine".