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42870394487808 = 21032113277353421
BaseRepresentation
bin10011011111101100010101…
…01000101000010000000000
312121210100222111120002200100
421233312022220220100000
521104342031442102213
6231102215355522400
712013166224446516
oct1157661250502000
9177710874502610
1042870394487808
11127292610721a8
1249846a0459400
131abc878b84484
14a82d1c4744b6
154e5256072773
hex26fd8aa28400

42870394487808 has 528 divisors, whose sum is σ = 125987238043056. Its totient is φ = 14039132405760.

The previous prime is 42870394487759. The next prime is 42870394487827. The reversal of 42870394487808 is 80878449307824.

It is a happy number.

42870394487808 is a `hidden beast` number, since 4 + 2 + 8 + 70 + 39 + 448 + 7 + 80 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26727741932544 + 16142652555264 = 5169888^2 + 4017792^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101829915438 + ... + 101829915858.

Almost surely, 242870394487808 is an apocalyptic number.

42870394487808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42870394487808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62993619021528).

42870394487808 is an abundant number, since it is smaller than the sum of its proper divisors (83116843555248).

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

42870394487808 is a wasteful number, since it uses less digits than its factorization.

42870394487808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 42870394487808 in words is "forty-two trillion, eight hundred seventy billion, three hundred ninety-four million, four hundred eighty-seven thousand, eight hundred eight".