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162097318656 = 28327213195813
BaseRepresentation
bin1001011011110111000…
…0001100101100000000
3120111101211200222022200
42112331300030230000
510123433403144111
6202244432033200
714465631321600
oct2267560145400
9514354628280
10162097318656
116282178a769
12274ba092800
1312393929190
147bba2a2c00
15433ab75256
hex25bdc0cb00

162097318656 has 648 divisors, whose sum is σ = 616413535920. Its totient is φ = 40493924352.

The previous prime is 162097318639. The next prime is 162097318667. The reversal of 162097318656 is 656813790261.

162097318656 is a `hidden beast` number, since 1 + 620 + 9 + 7 + 3 + 1 + 8 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27882406 + ... + 27888218.

Almost surely, 2162097318656 is an apocalyptic number.

162097318656 is a gapful number since it is divisible by the number (16) 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 162097318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206767960).

162097318656 is an abundant number, since it is smaller than the sum of its proper divisors (454316217264).

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

162097318656 is a wasteful number, since it uses less digits than its factorization.

162097318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 162097318656 in words is "one hundred sixty-two billion, ninety-seven million, three hundred eighteen thousand, six hundred fifty-six".