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34592090008 = 2371750397211
BaseRepresentation
bin100000001101110110…
…010110011110011000
310022021210010020121211
4200031312112132120
51031321033340013
623520312312504
72333136625240
oct401566263630
9108253106554
1034592090008
1113741373243
1268549a2734
133353872c18
141962286b20
15d76d5823d
hex80dd96798

34592090008 has 64 divisors (see below), whose sum is σ = 78512716800. Its totient is φ = 13948408320.

The previous prime is 34592089949. The next prime is 34592090021. The reversal of 34592090008 is 80009029543.

It is a happy number.

It is a super-2 number, since 2×345920900082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4793523 + ... + 4800733.

It is an arithmetic number, because the mean of its divisors is an integer number (1226761200).

Almost surely, 234592090008 is an apocalyptic number.

It is an amenable number.

34592090008 is an abundant number, since it is smaller than the sum of its proper divisors (43920626792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34592090008 is a wasteful number, since it uses less digits than its factorization.

34592090008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 34592090008 in words is "thirty-four billion, five hundred ninety-two million, ninety thousand, eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 5039 7211 10078 14422 20156 28844 35273 40312 50477 57688 70546 85663 100954 122587 141092 171326 201908 245174 282184 342652 403816 490348 599641 685304 858109 980696 1199282 1716218 2398564 3432436 4797128 6864872 36336229 72672458 145344916 254353603 290689832 508707206 617715893 1017414412 1235431786 2034828824 2470863572 4324011251 4941727144 8648022502 17296045004 34592090008