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34575453696 = 29373293173
BaseRepresentation
bin100000001100110110…
…111000111000000000
310022020121211000220010
4200030312320320000
51031302304004241
623514515544520
72332545336000
oct401466707000
9108217730803
1034575453696
1113732a40123
12684b2bb140
133350299854
14195dd96000
15d7566dd16
hex80cdb8e00

34575453696 has 640 divisors, whose sum is σ = 116278272000. Its totient is φ = 9103933440.

The previous prime is 34575453683. The next prime is 34575453707. The reversal of 34575453696 is 69635457543.

Its product of digits (40824000) is a multiple of the sum of its prime factors (175).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473636316 + ... + 473636388.

It is an arithmetic number, because the mean of its divisors is an integer number (181684800).

Almost surely, 234575453696 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 34575453696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58139136000).

34575453696 is an abundant number, since it is smaller than the sum of its proper divisors (81702818304).

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

34575453696 is an equidigital number, since it uses as much as digits as its factorization.

34575453696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 57.

The spelling of 34575453696 in words is "thirty-four billion, five hundred seventy-five million, four hundred fifty-three thousand, six hundred ninety-six".