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163420416000 = 21135533771
BaseRepresentation
bin1001100000110010011…
…1011010100000000000
3120121211001100021200000
42120030213122200000
510134141111303000
6203024014400000
714543465421342
oct2301447324000
9517731307600
10163420416000
1163340623346
1227809200000
1312544a9030a
147ca3cb7292
1543b6dc9000
hex260c9da800

163420416000 has 1152 divisors, whose sum is σ = 636203393280. Its totient is φ = 41803776000.

The previous prime is 163420415959. The next prime is 163420416041. The reversal of 163420416000 is 614024361.

163420416000 is a `hidden beast` number, since 1 + 6 + 34 + 20 + 4 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (163420415959) and next prime (163420416041).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1634204160002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2301695965 + ... + 2301696035.

It is an arithmetic number, because the mean of its divisors is an integer number (552259890).

Almost surely, 2163420416000 is an apocalyptic number.

163420416000 is a gapful number since it is divisible by the number (10) 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 163420416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318101696640).

163420416000 is an abundant number, since it is smaller than the sum of its proper divisors (472782977280).

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

163420416000 is an frugal number, since it uses more digits than its factorization.

163420416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 163420416000 in words is "one hundred sixty-three billion, four hundred twenty million, four hundred sixteen thousand".