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12141715641748 = 227112331376722303
BaseRepresentation
bin1011000010101111011010…
…1001011101010110010100
31120222201220001001121120121
42300223312221131112110
53042412213201013443
641453454400041324
72362132014051550
oct260536651352624
946881801047517
1012141715641748
1139612aaa44a90
121441190003244
136a0c608468c4
142dd93b004860
15160c795854ed
hexb0af6a5d594

12141715641748 has 384 divisors, whose sum is σ = 29744437395456. Its totient is φ = 4196772518400.

The previous prime is 12141715641721. The next prime is 12141715641767. The reversal of 12141715641748 is 84714651714121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12141715641695 and 12141715641704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 544387165 + ... + 544409467.

It is an arithmetic number, because the mean of its divisors is an integer number (77459472384).

Almost surely, 212141715641748 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 12141715641748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872218697728).

12141715641748 is an abundant number, since it is smaller than the sum of its proper divisors (17602721753708).

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

12141715641748 is a wasteful number, since it uses less digits than its factorization.

12141715641748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483 (or 22481 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 52.

The spelling of 12141715641748 in words is "twelve trillion, one hundred forty-one billion, seven hundred fifteen million, six hundred forty-one thousand, seven hundred forty-eight".