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34957838061459 = 331968143933843
BaseRepresentation
bin1111111001011010000011…
…00001010000111110010011
311120202221021211200111021000
413330231001201100332103
514040222123020431314
6202203224211033043
710235422546523625
oct774550141207623
9146687254614230
1034957838061459
1110158599267105
123b0709129b783
131667682587991
1488bd7b394c15
15409500d14209
hex1fcb41850f93

34957838061459 has 16 divisors (see below), whose sum is σ = 54515147075200. Its totient is φ = 22078634564808.

The previous prime is 34957838061401. The next prime is 34957838061481. The reversal of 34957838061459 is 95416083875943.

34957838061459 is a `hidden beast` number, since 3 + 4 + 9 + 578 + 3 + 8 + 0 + 6 + 1 + 45 + 9 = 666.

It is not a de Polignac number, because 34957838061459 - 213 = 34957838053267 is a prime.

It is a super-2 number, since 2×349578380614592 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34957838041459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34071966409 + ... + 34071967434.

It is an arithmetic number, because the mean of its divisors is an integer number (3407196692200).

Almost surely, 234957838061459 is an apocalyptic number.

34957838061459 is a deficient number, since it is larger than the sum of its proper divisors (19557309013741).

34957838061459 is a wasteful number, since it uses less digits than its factorization.

34957838061459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68143933871 (or 68143933865 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 34957838061459 in words is "thirty-four trillion, nine hundred fifty-seven billion, eight hundred thirty-eight million, sixty-one thousand, four hundred fifty-nine".

Divisors: 1 3 9 19 27 57 171 513 68143933843 204431801529 613295404587 1294734743017 1839886213761 3884204229051 11652612687153 34957838061459