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67139274426084 = 22327891572121447
BaseRepresentation
bin11110100010000000101001…
…00110100100011011100100
322210201110012110202101210200
433101000110212210123210
532300002213223113314
6354443205030150500
720066436544331250
oct1721002446443344
9283643173671720
1067139274426084
111a435674107123
12764405b1b2430
132b6028b644213
1412817b5a87260
157b66a744d709
hex3d10149a46e4

67139274426084 has 216 divisors, whose sum is σ = 197396070318720. Its totient is φ = 18846149617152.

The previous prime is 67139274426017. The next prime is 67139274426109. The reversal of 67139274426084 is 48062447293176.

67139274426084 is a `hidden beast` number, since 6 + 7 + 1 + 39 + 27 + 442 + 60 + 84 = 666.

It is a super-2 number, since 2×671392744260842 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 552767049 + ... + 552888495.

It is an arithmetic number, because the mean of its divisors is an integer number (913870695920).

Almost surely, 267139274426084 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 67139274426084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98698035159360).

67139274426084 is an abundant number, since it is smaller than the sum of its proper divisors (130256795892636).

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

67139274426084 is a wasteful number, since it uses less digits than its factorization.

67139274426084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121867 (or 121705 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 67139274426084 in words is "sixty-seven trillion, one hundred thirty-nine billion, two hundred seventy-four million, four hundred twenty-six thousand, eighty-four".