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42188475780 = 22345119724407
BaseRepresentation
bin100111010010101000…
…010000110110000100
311000220012001121220000
4213102220100312010
51142400222211110
631214153241300
73022320061443
oct472250206604
9130805047800
1042188475780
111698a327310
128214a03230
133c945aa649
1420830c8d5a
15116dbc91c0
hex9d2a10d84

42188475780 has 240 divisors, whose sum is σ = 145872752256. Its totient is φ = 10121656320.

The previous prime is 42188475779. The next prime is 42188475803. The reversal of 42188475780 is 8757488124.

42188475780 is a `hidden beast` number, since 4 + 21 + 8 + 8 + 47 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1716337 + ... + 1740743.

Almost surely, 242188475780 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 42188475780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72936376128).

42188475780 is an abundant number, since it is smaller than the sum of its proper divisors (103684276476).

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

42188475780 is a wasteful number, since it uses less digits than its factorization.

42188475780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24536 (or 24525 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 42188475780 in words is "forty-two billion, one hundred eighty-eight million, four hundred seventy-five thousand, seven hundred eighty".