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34807478000 = 245331355603
BaseRepresentation
bin100000011010101011…
…111111011011110000
310022211210102002101212
4200122223333123300
51032241203244000
623553525015252
72341363452461
oct403253773360
9108753362355
1034807478000
1113841a06449
1268b4b54528
133389387339
141982b12d68
15d8ac01c35
hex81aaff6f0

34807478000 has 80 divisors (see below), whose sum is σ = 84434896416. Its totient is φ = 13878259200.

The previous prime is 34807477921. The next prime is 34807478093. The reversal of 34807478000 is 87470843.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598199 + ... + 653801.

Almost surely, 234807478000 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 34807478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42217448208).

34807478000 is an abundant number, since it is smaller than the sum of its proper divisors (49627418416).

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

34807478000 is a wasteful number, since it uses less digits than its factorization.

34807478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55939 (or 55923 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 34807478000 in words is "thirty-four billion, eight hundred seven million, four hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 313 400 500 626 1000 1252 1565 2000 2504 3130 5008 6260 7825 12520 15650 25040 31300 39125 55603 62600 78250 111206 125200 156500 222412 278015 313000 444824 556030 626000 889648 1112060 1390075 2224120 2780150 4448240 5560300 6950375 11120600 13900750 17403739 22241200 27801500 34807478 55603000 69614956 87018695 111206000 139229912 174037390 278459824 348074780 435093475 696149560 870186950 1392299120 1740373900 2175467375 3480747800 4350934750 6961495600 8701869500 17403739000 34807478000