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53005008258 = 23673349597
BaseRepresentation
bin110001010111010110…
…000011110110000010
312001211000021102000000
4301113112003312002
51332023240231013
640203345140430
73554341064526
oct612726036602
9161730242000
1053005008258
112052aa44254
12a33332a716
134cc94b8a17
1427cb87bd86
1515a35c7973
hexc57583d82

53005008258 has 56 divisors (see below), whose sum is σ = 119371772028. Its totient is φ = 17643876192.

The previous prime is 53005008247. The next prime is 53005008283. The reversal of 53005008258 is 85280050035.

It can be written as a sum of positive squares in 2 ways, for example, as 52930824489 + 74183769 = 230067^2 + 8613^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1043916 + ... + 1093512.

Almost surely, 253005008258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53005008258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59685886014).

53005008258 is an abundant number, since it is smaller than the sum of its proper divisors (66366763770).

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

53005008258 is an equidigital number, since it uses as much as digits as its factorization.

53005008258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50350 (or 50335 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 53005008258 in words is "fifty-three billion, five million, eight thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 733 1458 1466 2199 4398 6597 13194 19791 39582 49597 59373 99194 118746 148791 178119 297582 356238 446373 534357 892746 1068714 1339119 2678238 4017357 8034714 12052071 24104142 36156213 36354601 72312426 72709202 109063803 218127606 327191409 654382818 981574227 1963148454 2944722681 5889445362 8834168043 17668336086 26502504129 53005008258