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42560233206524 = 22114352794261193
BaseRepresentation
bin10011010110101010100111…
…00101001111001011111100
312120200201101211101111110222
421223111103211033023330
521034301324200102044
6230303522355120512
711651606153165315
oct1153252345171374
9176621354344428
1042560233206524
111261976a113980
12493455bba3138
131a99549b196b7
14a71cd79c960c
154dc1517988ee
hex26b55394f2fc

42560233206524 has 48 divisors (see below), whose sum is σ = 83156689566720. Its totient is φ = 18892079955840.

The previous prime is 42560233206523. The next prime is 42560233206571.

It is a happy number.

42560233206524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×425602332065242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42560233206523) 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, 7857272 + ... + 12118464.

It is an arithmetic number, because the mean of its divisors is an integer number (1732431032640).

Almost surely, 242560233206524 is an apocalyptic number.

42560233206524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42560233206524 is a deficient number, since it is larger than the sum of its proper divisors (40596456360196).

42560233206524 is a wasteful number, since it uses less digits than its factorization.

42560233206524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266530 (or 4266528 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 42560233206524 in words is "forty-two trillion, five hundred sixty billion, two hundred thirty-three million, two hundred six thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 86 172 473 946 1892 5279 10558 21116 58069 116138 226997 232276 453994 907988 2496967 4261193 4993934 8522386 9987868 17044772 46873123 93746246 183231299 187492492 366462598 732925196 2015544289 4031088578 8062177156 22494837847 44989675694 89979351388 247443216317 494886432634 967278027421 989772865268 1934556054842 3869112109684 10640058301631 21280116603262 42560233206524