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167428073088 = 27356780341
BaseRepresentation
bin1001101111101101111…
…1011010011010000000
3121000011100110100200000
42123323133122122000
510220343041314323
6204525420400000
715045011065653
oct2337337323200
9530140410600
10167428073088
1165007867441
12285473a6000
1312a33163043
14816426189a
15454db62e43
hex26fb7da680

167428073088 has 192 divisors, whose sum is σ = 507099421920. Its totient is φ = 54975697920.

The previous prime is 167428073039. The next prime is 167428073089. The reversal of 167428073088 is 880370824761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (167428073089) 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, 2043798 + ... + 2124138.

Almost surely, 2167428073088 is an apocalyptic number.

167428073088 is a gapful number since it is divisible by the number (18) 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 167428073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253549710960).

167428073088 is an abundant number, since it is smaller than the sum of its proper divisors (339671348832).

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

167428073088 is an frugal number, since it uses more digits than its factorization.

167428073088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80437 (or 80413 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 167428073088 in words is "one hundred sixty-seven billion, four hundred twenty-eight million, seventy-three thousand, eighty-eight".