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168825760488 = 23357112349037
BaseRepresentation
bin1001110100111011001…
…1001010101011101000
3121010202202110020100000
42131032303022223220
510231223343313423
6205320225543000
715124442200230
oct2351663125350
9533682406300
10168825760488
11656648166a0
12288774a4a60
1312bc68b1cc8
148257b30cc0
1545d16ec843
hex274eccaae8

168825760488 has 384 divisors, whose sum is σ = 616890193920. Its totient is φ = 41943432960.

The previous prime is 168825760469. The next prime is 168825760549. The reversal of 168825760488 is 884067528861.

168825760488 is a `hidden beast` number, since 1 + 6 + 8 + 82 + 5 + 76 + 0 + 488 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3418306 + ... + 3467342.

It is an arithmetic number, because the mean of its divisors is an integer number (1606484880).

Almost surely, 2168825760488 is an apocalyptic number.

168825760488 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 168825760488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308445096960).

168825760488 is an abundant number, since it is smaller than the sum of its proper divisors (448064433432).

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

168825760488 is a wasteful number, since it uses less digits than its factorization.

168825760488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49099 (or 49083 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 168825760488 in words is "one hundred sixty-eight billion, eight hundred twenty-five million, seven hundred sixty thousand, four hundred eighty-eight".