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34546260106031 = 271145387733637
BaseRepresentation
bin1111101101011011011011…
…00011111101101100101111
311112022120221021011001020012
413312231231203331230233
514012001220041343111
6201250155515043435
710163612346603542
oct766555543755457
9145276837131205
1034546260106031
1110009a94235503
123a5b36874057b
13163791037434b
14876095676859
153ed962c6548b
hex1f6b6d8fdb2f

34546260106031 has 8 divisors (see below), whose sum is σ = 34697601025344. Its totient is φ = 34395094657440.

The previous prime is 34546260106027. The next prime is 34546260106063. The reversal of 34546260106031 is 13060106264543.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34546260106031 - 22 = 34546260106027 is a prime.

It is a super-2 number, since 2×345462601060312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34546260106031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34546260106081) 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 in 7 ways as a sum of consecutive naturals, for example, 43473056 + ... + 44260581.

It is an arithmetic number, because the mean of its divisors is an integer number (4337200128168).

Almost surely, 234546260106031 is an apocalyptic number.

34546260106031 is a deficient number, since it is larger than the sum of its proper divisors (151340919313).

34546260106031 is a wasteful number, since it uses less digits than its factorization.

34546260106031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87735361.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 34546260106031 in words is "thirty-four trillion, five hundred forty-six billion, two hundred sixty million, one hundred six thousand, thirty-one".

Divisors: 1 271 1453 393763 87733637 23775815627 127476974561 34546260106031