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163850086656 = 28369372
BaseRepresentation
bin1001100010011000111…
…0011110100100000000
3120122220222211211000000
42120212032132210000
510141031110233111
6203134404000000
714560233520434
oct2304616364400
9518828754000
10163850086656
1163541114263
1227909090000
13125b2abc9c9
147d04da29c4
1543de99dc56
hex262639e900

163850086656 has 189 divisors, whose sum is σ = 490889774361. Its totient is φ = 54558406656.

The previous prime is 163850086651. The next prime is 163850086663. The reversal of 163850086656 is 656680058361.

The square root of 163850086656 is 404784.

It is a perfect power (a square), and thus also a powerful number.

163850086656 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 500 + 86 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8626694400 + 155223392256 = 92880^2 + 393984^2 .

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 (163850086651) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 174866220 + ... + 174867156.

Almost surely, 2163850086656 is an apocalyptic number.

163850086656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

163850086656 is the 404784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163850086656

163850086656 is an abundant number, since it is smaller than the sum of its proper divisors (327039687705).

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

163850086656 is an frugal number, since it uses more digits than its factorization.

163850086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 163850086656 in words is "one hundred sixty-three billion, eight hundred fifty million, eighty-six thousand, six hundred fifty-six".