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2553005104 = 2413163257293
BaseRepresentation
bin1001100000101011…
…1100010000110000
320120220221002121121
42120022330100300
520212032130404
61101155432024
7120160120366
oct23012742060
96526832547
102553005104
1110a0117581
125b2bb5614
13318bca610
141a30cb636
15ee1eae54
hex982bc430

2553005104 has 80 divisors (see below), whose sum is σ = 5398841952. Its totient is φ = 1162543104.

The previous prime is 2553005057. The next prime is 2553005113. The reversal of 2553005104 is 4015003552.

It is a super-2 number, since 2×25530051042 = 13035670122100101632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8713182 + ... + 8713474.

Almost surely, 22553005104 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 2553005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699420976).

2553005104 is an abundant number, since it is smaller than the sum of its proper divisors (2845836848).

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

2553005104 is a wasteful number, since it uses less digits than its factorization.

2553005104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2553005104 is about 50527.2708940430. The cubic root of 2553005104 is about 1366.7336724897.

Adding to 2553005104 its reverse (4015003552), we get a palindrome (6568008656).

The spelling of 2553005104 in words is "two billion, five hundred fifty-three million, five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 257 293 326 514 586 652 1028 1172 1304 2056 2119 2344 2608 3341 3809 4112 4238 4688 6682 7618 8476 13364 15236 16952 26728 30472 33904 41891 47759 53456 60944 75301 83782 95518 150602 167564 191036 301204 335128 382072 544583 602408 620867 670256 764144 978913 1089166 1204816 1241734 1957826 2178332 2483468 3915652 4356664 4966936 7831304 8713328 9933872 12274063 15662608 24548126 49096252 98192504 159562819 196385008 319125638 638251276 1276502552 2553005104