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13435022352 = 243416826739
BaseRepresentation
bin11001000001100101…
…00010110000010000
31021200022100211221110
430200302202300100
5210003331203402
610101051053320
7653634543243
oct144062426020
937608324843
1013435022352
1157747a1164
12272b441240
13136155628b
1491644925a
1553973256c
hex320ca2c10

13435022352 has 40 divisors (see below), whose sum is σ = 35553661920. Its totient is φ = 4369112320.

The previous prime is 13435022347. The next prime is 13435022353. The reversal of 13435022352 is 25322053431.

It is a super-2 number, since 2×134350223522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13435022353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3411402 + ... + 3415337.

It is an arithmetic number, because the mean of its divisors is an integer number (888841548).

Almost surely, 213435022352 is an apocalyptic number.

13435022352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13435022352 is an abundant number, since it is smaller than the sum of its proper divisors (22118639568).

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

13435022352 is a wasteful number, since it uses less digits than its factorization.

13435022352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826791 (or 6826785 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 13435022352 its reverse (25322053431), we get a palindrome (38757075783).

The spelling of 13435022352 in words is "thirteen billion, four hundred thirty-five million, twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 6826739 13653478 20480217 27306956 40960434 54613912 81920868 109227824 163841736 279896299 327683472 559792598 839688897 1119585196 1679377794 2239170392 3358755588 4478340784 6717511176 13435022352