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13034625000 = 2335634759
BaseRepresentation
bin11000010001110110…
…01001011111101000
31020122101221120000220
430020323021133220
5203143331000000
65553225130040
7641003325105
oct141073113750
936571846026
1013034625000
115589784761
122639329920
1312c9605b77
148b91bdaac
155144e11a0
hex308ec97e8

13034625000 has 112 divisors (see below), whose sum is σ = 40733853600. Its totient is φ = 3475800000.

The previous prime is 13034624927. The next prime is 13034625077. The reversal of 13034625000 is 52643031.

It is a happy number.

13034625000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 27 ways as a sum of consecutive naturals, for example, 357621 + ... + 392379.

Almost surely, 213034625000 is an apocalyptic number.

13034625000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13034625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20366926800).

13034625000 is an abundant number, since it is smaller than the sum of its proper divisors (27699228600).

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

13034625000 is an frugal number, since it uses more digits than its factorization.

13034625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34798 (or 34769 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 13034625000 in words is "thirteen billion, thirty-four million, six hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 15625 18750 25000 31250 34759 37500 46875 62500 69518 75000 93750 104277 125000 139036 173795 187500 208554 278072 347590 375000 417108 521385 695180 834216 868975 1042770 1390360 1737950 2085540 2606925 3475900 4171080 4344875 5213850 6951800 8689750 10427700 13034625 17379500 20855400 21724375 26069250 34759000 43448750 52138500 65173125 86897500 104277000 108621875 130346250 173795000 217243750 260692500 325865625 434487500 521385000 543109375 651731250 868975000 1086218750 1303462500 1629328125 2172437500 2606925000 3258656250 4344875000 6517312500 13034625000