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42067146924 = 223211234618703
BaseRepresentation
bin100111001011011001…
…011011100010101100
311000120201202110222200
4213023121123202230
51142123142200144
631154140541500
73016314564135
oct471331334254
9130521673880
1042067146924
1116927898130
1281a0251890
133c7540991a
142070d44c8c
15116320ec69
hex9cb65b8ac

42067146924 has 72 divisors (see below), whose sum is σ = 121046994432. Its totient is φ = 12193373280.

The previous prime is 42067146923. The next prime is 42067146941. The reversal of 42067146924 is 42964176024.

42067146924 is a `hidden beast` number, since 420 + 67 + 146 + 9 + 24 = 666.

It is a super-3 number, since 3×420671469243 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42067146924.

It is not an unprimeable number, because it can be changed into a prime (42067146923) 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 23 ways as a sum of consecutive naturals, for example, 2300244 + ... + 2318459.

It is an arithmetic number, because the mean of its divisors is an integer number (1681208256).

Almost surely, 242067146924 is an apocalyptic number.

42067146924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42067146924 is an abundant number, since it is smaller than the sum of its proper divisors (78979847508).

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

42067146924 is a wasteful number, since it uses less digits than its factorization.

42067146924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618747 (or 4618742 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42067146924 in words is "forty-two billion, sixty-seven million, one hundred forty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 4618703 9237406 13856109 18474812 27712218 41568327 50805733 55424436 83136654 101611466 106230169 152417199 166273308 203222932 212460338 304834398 318690507 424920676 457251597 609668796 637381014 914503194 956071521 1168531859 1274762028 1829006388 1912143042 2337063718 3505595577 3824286084 4674127436 7011191154 10516786731 14022382308 21033573462 42067146924