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42166451540 = 22523142764237
BaseRepresentation
bin100111010001010100…
…001111110101010100
311000211122121200022102
4213101110033311110
51142324102422130
631212045221232
73021631632023
oct472124176524
9130748550272
1042166451540
1116978954164
128209561818
133c8cb68a55
1420801d48ba
15116bcc8645
hex9d150fd54

42166451540 has 48 divisors (see below), whose sum is σ = 92465718912. Its totient is φ = 16121694336.

The previous prime is 42166451527. The next prime is 42166451557. The reversal of 42166451540 is 4515466124.

It is a happy number.

42166451540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×421664515404 (a number of 44 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42166451494 and 42166451503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624302 + ... + 688538.

It is an arithmetic number, because the mean of its divisors is an integer number (1926369144).

Almost surely, 242166451540 is an apocalyptic number.

It is an amenable number.

42166451540 is an abundant number, since it is smaller than the sum of its proper divisors (50299267372).

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

42166451540 is a wasteful number, since it uses less digits than its factorization.

42166451540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65696 (or 65694 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 42166451540 in words is "forty-two billion, one hundred sixty-six million, four hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1427 2854 5708 7135 14270 28540 32821 64237 65642 128474 131284 164105 256948 321185 328210 642370 656420 1284740 1477451 2954902 5909804 7387255 14774510 29549020 91666199 183332398 366664796 458330995 916661990 1833323980 2108322577 4216645154 8433290308 10541612885 21083225770 42166451540