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245603501056 = 2101729112
BaseRepresentation
bin1110010010111100011…
…1000000010000000000
3212110221112022120101001
43210233013000100000
513010443444013211
6304454555221344
723513166212404
oct3445707002000
9773845276331
10245603501056
1195183856551
123b724147854
131a211283624
14bc5c969104
1565c6d72ac1
hex392f1c0400

245603501056 has 99 divisors (see below), whose sum is σ = 522119551357. Its totient is φ = 115451248640.

The previous prime is 245603501053. The next prime is 245603501063. The reversal of 245603501056 is 650105306542.

The square root of 245603501056 is 495584.

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., 191213798400 + 54389702656 = 437280^2 + 233216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245603501051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269597241 + ... + 269598151.

Almost surely, 2245603501056 is an apocalyptic number.

245603501056 is the 495584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245603501056

245603501056 is an abundant number, since it is smaller than the sum of its proper divisors (276516050301).

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

245603501056 is an frugal number, since it uses more digits than its factorization.

245603501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 245603501056 its reverse (650105306542), we get a palindrome (895708807598).

The spelling of 245603501056 in words is "two hundred forty-five billion, six hundred three million, five hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 911 1024 1088 1156 1822 2176 2312 3644 4352 4624 7288 8704 9248 14576 15487 17408 18496 29152 30974 36992 58304 61948 73984 116608 123896 147968 233216 247792 263279 295936 466432 495584 526558 829921 932864 991168 1053116 1659842 1982336 2106232 3319684 3964672 4212464 6639368 7929344 8424928 13278736 14108657 15858688 16849856 26557472 28217314 33699712 53114944 56434628 67399424 106229888 112869256 134798848 212459776 225738512 239847169 269597696 424919552 451477024 479694338 849839104 902954048 959388676 1805908096 1918777352 3611816192 3837554704 7223632384 7675109408 14447264768 15350218816 30700437632 61400875264 122801750528 245603501056