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7081559104 = 266721572
BaseRepresentation
bin1101001100001100…
…00000010001000000
3200021112012110211211
412212012000101000
5104000334342404
63130410215504
7340326154624
oct64606002100
920245173754
107081559104
1130043a0194
121457724594
1388b190b79
144b270b184
152b6a79b04
hex1a6180440

7081559104 has 63 divisors (see below), whose sum is σ = 14356778373. Its totient is φ = 3465715968.

The previous prime is 7081559101. The next prime is 7081559123. The reversal of 7081559104 is 4019551807.

It is a happy number.

The square root of 7081559104 is 84152.

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., 2075713600 + 5005845504 = 45560^2 + 70752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7081559101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45105394 + ... + 45105550.

It is an arithmetic number, because the mean of its divisors is an integer number (227885371).

Almost surely, 27081559104 is an apocalyptic number.

7081559104 is the 84152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7081559104

7081559104 is an abundant number, since it is smaller than the sum of its proper divisors (7275219269).

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

7081559104 is an frugal number, since it uses more digits than its factorization.

7081559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The cubic root of 7081559104 is about 1920.3318928569.

The spelling of 7081559104 in words is "seven billion, eighty-one million, five hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 67 134 157 268 314 536 628 1072 1256 2144 2512 4288 4489 5024 8978 10048 10519 17956 21038 24649 35912 42076 49298 71824 84152 98596 143648 168304 197192 287296 336608 394384 673216 704773 788768 1409546 1577536 1651483 2819092 3302966 5638184 6605932 11276368 13211864 22552736 26423728 45105472 52847456 105694912 110649361 221298722 442597444 885194888 1770389776 3540779552 7081559104