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169906553856 = 21034132172331
BaseRepresentation
bin1001111000111100111…
…0000100010000000000
3121020120002011020010000
42132033032010100000
510240432034210411
6210015355040000
715163304610264
oct2361716042000
9536502136100
10169906553856
1166069902756
1228b19440000
1313039799700
14831b4b00a4
15464653c956
hex278f384400

169906553856 has 1320 divisors, whose sum is σ = 626596591104. Its totient is φ = 45546209280.

The previous prime is 169906553827. The next prime is 169906553863. The reversal of 169906553856 is 658355609961.

169906553856 is a `hidden beast` number, since 1 + 6 + 9 + 90 + 6 + 5 + 538 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 169906553793 and 169906553802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5480856561 + ... + 5480856591.

Almost surely, 2169906553856 is an apocalyptic number.

169906553856 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 169906553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313298295552).

169906553856 is an abundant number, since it is smaller than the sum of its proper divisors (456690037248).

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

169906553856 is a wasteful number, since it uses less digits than its factorization.

169906553856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 169906553856 in words is "one hundred sixty-nine billion, nine hundred six million, five hundred fifty-three thousand, eight hundred fifty-six".