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204754440004 = 2261237092
BaseRepresentation
bin1011111010110001010…
…0001100111101000100
3201120111200121021001221
42332230110030331010
511323314114040004
6234021330130124
720536002011062
oct2765424147504
9646450537057
10204754440004
11799215a8364
1233823a20944
131640133129a
149ca5701032
1554d5a72354
hex2fac50cf44

204754440004 has 27 divisors (see below), whose sum is σ = 364388914071. Its totient is φ = 100671755040.

The previous prime is 204754439977. The next prime is 204754440031. The reversal of 204754440004 is 400044457402.

The square root of 204754440004 is 452498.

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

204754440004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204754439977) and next prime (204754440031).

It can be written as a sum of positive squares in 4 ways, for example, as 115329518404 + 89424921600 = 339602^2 + 299040^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 55202902 + ... + 55206610.

Almost surely, 2204754440004 is an apocalyptic number.

204754440004 is the 452498-th square number.

It is an amenable number.

204754440004 is a deficient number, since it is larger than the sum of its proper divisors (159634474067).

204754440004 is an frugal number, since it uses more digits than its factorization.

204754440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 34.

Adding to 204754440004 its reverse (400044457402), we get a palindrome (604798897406).

The spelling of 204754440004 in words is "two hundred four billion, seven hundred fifty-four million, four hundred forty thousand, four".

Divisors: 1 2 4 61 122 244 3709 3721 7418 7442 14836 14884 226249 452498 904996 13756681 13801189 27513362 27602378 55026724 55204756 839157541 1678315082 3356630164 51188610001 102377220002 204754440004