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235702482064 = 247424772
BaseRepresentation
bin1101101110000011110…
…1100111010010010000
3211112101111210200122221
43123200331213102100
512330204313411224
6300140310110424
723012633020000
oct3334075472220
9745344720587
10235702482064
1190a629a7425
123982034b414
13192c3c40bca
14b59da10000
1561e7a176e4
hex36e0f67490

235702482064 has 75 divisors (see below), whose sum is σ = 532969285817. Its totient is φ = 100974568128.

The previous prime is 235702482019. The next prime is 235702482083. The reversal of 235702482064 is 460284207532.

The square root of 235702482064 is 485492.

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

235702482064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 118322240400 + 117380241664 = 343980^2 + 342608^2 .

It is a super-2 number, since 2×2357024820642 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 235702482064.

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 14 ways as a sum of consecutive naturals, for example, 95155194 + ... + 95157670.

Almost surely, 2235702482064 is an apocalyptic number.

235702482064 is the 485492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235702482064

235702482064 is an abundant number, since it is smaller than the sum of its proper divisors (297266803753).

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

235702482064 is an frugal number, since it uses more digits than its factorization.

235702482064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

Adding to 235702482064 its reverse (460284207532), we get a palindrome (695986689596).

The spelling of 235702482064 in words is "two hundred thirty-five billion, seven hundred two million, four hundred eighty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2477 2744 4802 4954 5488 9604 9908 17339 19208 19816 34678 38416 39632 69356 121373 138712 242746 277424 485492 849611 970984 1699222 1941968 3398444 5947277 6135529 6796888 11894554 12271058 13593776 23789108 24542116 42948703 47578216 49084232 85897406 95156432 98168464 171794812 300640921 343589624 601281842 687179248 1202563684 2104486447 2405127368 4208972894 4810254736 8417945788 14731405129 16835891576 29462810258 33671783152 58925620516 117851241032 235702482064