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42114696192 = 2103241227491
BaseRepresentation
bin100111001110001110…
…110100010000000000
311000201001020020022200
4213032032310100000
51142222330234232
631203000033200
73020433003552
oct471616642000
9130631206280
1042114696192
1116951714648
1281b4162800
133c8221769a
1420773a14d2
1511674a377c
hex9ce3b4400

42114696192 has 264 divisors, whose sum is σ = 125374852512. Its totient is φ = 13607731200.

The previous prime is 42114696191. The next prime is 42114696229. The reversal of 42114696192 is 29169641124.

42114696192 is a `hidden beast` number, since 4 + 21 + 1 + 4 + 6 + 9 + 619 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42114696191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85773067 + ... + 85773557.

Almost surely, 242114696192 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 42114696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62687426256).

42114696192 is an abundant number, since it is smaller than the sum of its proper divisors (83260156320).

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

42114696192 is a wasteful number, since it uses less digits than its factorization.

42114696192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 764 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 42114696192 in words is "forty-two billion, one hundred fourteen million, six hundred ninety-six thousand, one hundred ninety-two".