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9074064020 = 2257226934421
BaseRepresentation
bin10000111001101101…
…10011101010010100
3212102101110012202012
420130312303222110
5122040430022040
64100224403352
7440602162100
oct103466635224
925371405665
109074064020
11393708866a
121912a76558
13b17c12868
146211b4900
1538195b865
hex21cdb3a94

9074064020 has 72 divisors (see below), whose sum is σ = 22249692360. Its totient is φ = 3099452160.

The previous prime is 9074064017. The next prime is 9074064053. The reversal of 9074064020 is 204604709.

9074064020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1223040784 + 7851023236 = 34972^2 + 88606^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 246410 + ... + 280830.

It is an arithmetic number, because the mean of its divisors is an integer number (309023505).

Almost surely, 29074064020 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 9074064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124846180).

9074064020 is an abundant number, since it is smaller than the sum of its proper divisors (13175628340).

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

9074064020 is a wasteful number, since it uses less digits than its factorization.

9074064020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34713 (or 34704 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 9074064020 is about 95257.8816686577. The cubic root of 9074064020 is about 2085.7741448788.

Adding to 9074064020 its reverse (204604709), we get a palindrome (9278668729).

The spelling of 9074064020 in words is "nine billion, seventy-four million, sixty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 269 490 538 980 1076 1345 1883 2690 3766 5380 7532 9415 13181 18830 26362 34421 37660 52724 65905 68842 131810 137684 172105 240947 263620 344210 481894 688420 963788 1204735 1686629 2409470 3373258 4818940 6746516 8433145 9259249 16866290 18518498 33732580 37036996 46296245 64814743 92592490 129629486 185184980 259258972 324073715 453703201 648147430 907406402 1296294860 1814812804 2268516005 4537032010 9074064020