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23534133143532 = 22311212983743019
BaseRepresentation
bin1010101100111011101111…
…01001010110011111101100
310002022211201012110211202120
411112131313221112133230
511041040401041043112
6122015233112352540
74646166521053344
oct526356751263754
9102284635424676
1023534133143532
117553851698140
1227810a56a5750
13101934a6c474b
145b50b56b3d24
152ac29bb0be8c
hex156777a567ec

23534133143532 has 48 divisors (see below), whose sum is σ = 59933204553600. Its totient is φ = 7128205692160.

The previous prime is 23534133143513. The next prime is 23534133143537.

23534133143532 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×235341331435322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23534133143537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41590482 + ... + 42152537.

It is an arithmetic number, because the mean of its divisors is an integer number (1248608428200).

Almost surely, 223534133143532 is an apocalyptic number.

23534133143532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23534133143532 is an abundant number, since it is smaller than the sum of its proper divisors (36399071410068).

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

23534133143532 is a wasteful number, since it uses less digits than its factorization.

23534133143532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83745166 (or 83745164 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 2353413 and 3143532, that added together give a palindrome (5496945).

The spelling of 23534133143532 in words is "twenty-three trillion, five hundred thirty-four billion, one hundred thirty-three million, one hundred forty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2129 4258 6387 8516 12774 23419 25548 46838 70257 93676 140514 281028 83743019 167486038 251229057 334972076 502458114 921173209 1004916228 1842346418 2763519627 3684692836 5527039254 11054078508 178288887451 356577774902 534866662353 713155549804 1069733324706 1961177761961 2139466649412 3922355523922 5883533285883 7844711047844 11767066571766 23534133143532