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42106532544 = 263273101619
BaseRepresentation
bin100111001101101111…
…101011001011000000
311000200110212110220100
4213031233223023000
51142213233020134
631202105042400
73020303423046
oct471557531300
9130613773810
1042106532544
111694804912a
1281b1486400
133c8061991b
142076278396
1511668de999
hex9cdbeb2c0

42106532544 has 42 divisors (see below), whose sum is σ = 120690774620. Its totient is φ = 14035510656.

The previous prime is 42106532521. The next prime is 42106532549. The reversal of 42106532544 is 44523560124.

42106532544 is a `hidden beast` number, since 4 + 2 + 106 + 5 + 3 + 2 + 544 = 666.

It is a super-2 number, since 2×421065325442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42106532499 and 42106532508.

It is not an unprimeable number, because it can be changed into a prime (42106532549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36550234 + ... + 36551385.

Almost surely, 242106532544 is an apocalyptic number.

It is an amenable number.

42106532544 is an abundant number, since it is smaller than the sum of its proper divisors (78584242076).

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

42106532544 is a wasteful number, since it uses less digits than its factorization.

42106532544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73101637 (or 73101624 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42106532544 in words is "forty-two billion, one hundred six million, five hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73101619 146203238 219304857 292406476 438609714 584812952 657914571 877219428 1169625904 1315829142 1754438856 2339251808 2631658284 3508877712 4678503616 5263316568 7017755424 10526633136 14035510848 21053266272 42106532544