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168608672064 = 2639719121
BaseRepresentation
bin1001110100000111011…
…1000010100101000000
3121010012121222000000000
42131001313002211000
510230302310001224
6205242513000000
715116165031330
oct2350167024500
9533177860000
10168608672064
1165563221978
1228816853000
1312b90923911
148236d810c0
1545bc61a0c9
hex2741dc2940

168608672064 has 280 divisors, whose sum is σ = 573590854848. Its totient is φ = 48171386880.

The previous prime is 168608672003. The next prime is 168608672083. The reversal of 168608672064 is 460276806861.

168608672064 is a `hidden beast` number, since 1 + 6 + 8 + 608 + 6 + 7 + 20 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 168608672064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8808424 + ... + 8827544.

Almost surely, 2168608672064 is an apocalyptic number.

168608672064 is a gapful number since it is divisible by the number (14) 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 168608672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286795427424).

168608672064 is an abundant number, since it is smaller than the sum of its proper divisors (404982182784).

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

168608672064 is an frugal number, since it uses more digits than its factorization.

168608672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19167 (or 19133 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 168608672064 in words is "one hundred sixty-eight billion, six hundred eight million, six hundred seventy-two thousand, sixty-four".