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245204052352 = 277661414017
BaseRepresentation
bin1110010001011101001…
…1001110100110000000
3212102220200200110202121
43210113103032212000
513004134214133402
6304351205454024
723500246025050
oct3442723164600
9772820613677
10245204052352
1194a99327856
123b632411314
131a1795a5c4c
14bc218a9560
1565a1c6c837
hex39174ce980

245204052352 has 64 divisors (see below), whose sum is σ = 559123028640. Its totient is φ = 104928215040.

The previous prime is 245204052323. The next prime is 245204052383. The reversal of 245204052352 is 253250402542.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 385248 + ... + 799264.

Almost surely, 2245204052352 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 245204052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279561514320).

245204052352 is an abundant number, since it is smaller than the sum of its proper divisors (313918976288).

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

245204052352 is an equidigital number, since it uses as much as digits as its factorization.

245204052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414699 (or 414687 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 245204052352 its reverse (253250402542), we get a palindrome (498454454894).

The spelling of 245204052352 in words is "two hundred forty-five billion, two hundred four million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 661 896 1322 2644 4627 5288 9254 10576 18508 21152 37016 42304 74032 84608 148064 296128 414017 592256 828034 1656068 2898119 3312136 5796238 6624272 11592476 13248544 23184952 26497088 46369904 52994176 92739808 185479616 273665237 370959232 547330474 1094660948 1915656659 2189321896 3831313318 4378643792 7662626636 8757287584 15325253272 17514575168 30650506544 35029150336 61301013088 122602026176 245204052352