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42081638051250 = 2325471378394649
BaseRepresentation
bin10011001000101111001010…
…00101100110110110110010
312111222222001201011120011100
421210113211011212312302
521003431143320120000
6225300012044025230
711602204135404030
oct1144274505466662
9174888051146140
1042081638051250
11124547a46830a6
124877853532216
131a63387430225
14a56a954a1550
154ce98edd1a00
hex2645e5166db2

42081638051250 has 480 divisors, whose sum is σ = 131346030816000. Its totient is φ = 9535018752000.

The previous prime is 42081638051239. The next prime is 42081638051263. The reversal of 42081638051250 is 5215083618024.

42081638051250 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 1 + 6 + 3 + 80 + 512 + 50 = 666.

42081638051250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420816380512502 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42081638051196 and 42081638051205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9051758926 + ... + 9051763574.

It is an arithmetic number, because the mean of its divisors is an integer number (273637564200).

Almost surely, 242081638051250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42081638051250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65673015408000).

42081638051250 is an abundant number, since it is smaller than the sum of its proper divisors (89264392764750).

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

42081638051250 is a wasteful number, since it uses less digits than its factorization.

42081638051250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 42081638051250 in words is "forty-two trillion, eighty-one billion, six hundred thirty-eight million, fifty-one thousand, two hundred fifty".