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9053903104 = 281923132
BaseRepresentation
bin10000110111010011…
…11001100100000000
3212100222111221011121
420123221321210000
5122020244344404
64054224322024
7440235622651
oct103351714400
925328457147
109053903104
113926768454
121908173314
13b139a411c
1461c647528
1537ecc7e54
hex21ba79900

9053903104 has 81 divisors (see below), whose sum is σ = 19134815553. Its totient is φ = 4274989056.

The previous prime is 9053903099. The next prime is 9053903113. The reversal of 9053903104 is 4013093509.

The square root of 9053903104 is 95152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57760000 + 8996143104 = 7600^2 + 94848^2 .

It is a super-2 number, since 2×90539031042 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9053903104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28926052 + ... + 28926364.

Almost surely, 29053903104 is an apocalyptic number.

9053903104 is the 95152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9053903104

9053903104 is an abundant number, since it is smaller than the sum of its proper divisors (10080912449).

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

9053903104 is an frugal number, since it uses more digits than its factorization.

9053903104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The cubic root of 9053903104 is about 2084.2282627897.

The spelling of 9053903104 in words is "nine billion, fifty-three million, nine hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 313 361 608 626 722 1216 1252 1444 2432 2504 2888 4864 5008 5776 5947 10016 11552 11894 20032 23104 23788 40064 46208 47576 80128 92416 95152 97969 112993 190304 195938 225986 380608 391876 451972 761216 783752 903944 1522432 1567504 1807888 1861411 3135008 3615776 3722822 6270016 7231552 7445644 12540032 14463104 14891288 25080064 28926208 29782576 35366809 59565152 70733618 119130304 141467236 238260608 282934472 476521216 565868944 1131737888 2263475776 4526951552 9053903104