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34453855264 = 254346753617
BaseRepresentation
bin100000000101100111…
…000001110000100000
310021221011000012012111
4200011213001300200
51031030141332024
623454453405104
72326540636423
oct400547016040
9107834005174
1034453855264
1113680337454
126816639794
13333103320a
14194bb819ba
15d69b4ea94
hex8059c1c20

34453855264 has 48 divisors (see below), whose sum is σ = 69558416928. Its totient is φ = 16789957632.

The previous prime is 34453855259. The next prime is 34453855301. The reversal of 34453855264 is 46255835443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615784 + ... + 669400.

It is an arithmetic number, because the mean of its divisors is an integer number (1449133686).

Almost surely, 234453855264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34453855264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779208464).

34453855264 is an abundant number, since it is smaller than the sum of its proper divisors (35104561664).

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

34453855264 is a wasteful number, since it uses less digits than its factorization.

34453855264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54137 (or 54129 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 49.

The spelling of 34453855264 in words is "thirty-four billion, four hundred fifty-three million, eight hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 467 688 934 1376 1868 3736 7472 14944 20081 40162 53617 80324 107234 160648 214468 321296 428936 642592 857872 1715744 2305531 4611062 9222124 18444248 25039139 36888496 50078278 73776992 100156556 200313112 400626224 801252448 1076682977 2153365954 4306731908 8613463816 17226927632 34453855264