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9030000078 = 23211196433733
BaseRepresentation
bin10000110100011101…
…01101110111001110
3212022022112112101100
420122032231313032
5121443140000303
64052012123530
7436525506561
oct103216556716
925268475340
109030000078
113914221790
1219001665a6
13b0ba55318
146193c44d8
1537cb558a3
hex21a3addce

9030000078 has 96 divisors (see below), whose sum is σ = 22507954560. Its totient is φ = 2587619520.

The previous prime is 9030000071. The next prime is 9030000079. The reversal of 9030000078 is 8700000309.

It is a happy number.

9030000078 is a nontrivial binomial coefficient, being equal to C(134388, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9030000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417100 + ... + 2420832.

It is an arithmetic number, because the mean of its divisors is an integer number (234457860).

Almost surely, 29030000078 is an apocalyptic number.

9030000078 is the 134387-th triangular number and also the 67194-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9030000078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253977280).

9030000078 is an abundant number, since it is smaller than the sum of its proper divisors (13477954482).

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

9030000078 is a wasteful number, since it uses less digits than its factorization.

9030000078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9030000078 is about 95026.3125560494. The cubic root of 9030000078 is about 2082.3924700359.

The spelling of 9030000078 in words is "nine billion, thirty million, seventy-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 643 1254 1286 1881 1929 3733 3762 3858 5787 7073 7466 11199 11574 12217 14146 21219 22398 24434 33597 36651 41063 42438 63657 67194 70927 73302 82126 109953 123189 127314 134387 141854 212781 219906 246378 268774 369567 403161 425562 638343 739134 780197 806322 1209483 1276686 1560394 2340591 2400319 2418966 4681182 4800638 7021773 7200957 14043546 14401914 21602871 26403509 43205742 45606061 52807018 79210527 91212122 136818183 158421054 237631581 273636366 410454549 475263162 501666671 820909098 1003333342 1505000013 3010000026 4515000039 9030000078