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168069968390016 = 27327117923983901
BaseRepresentation
bin100110001101101111010110…
…110000110110011110000000
3211001002022222001221221020200
4212031233112300312132000
5134012124243401440031
61353242135542405200
750254440331614420
oct4615572660663600
9731068861857220
10168069968390016
1149609089643530
1216a25104430800
1372a1c123161a4
142d708b6532480
151466d43c528e6
hex98dbd6c36780

168069968390016 has 384 divisors, whose sum is σ = 610610957798400. Its totient is φ = 43101946368000.

The previous prime is 168069968389969. The next prime is 168069968390039. The reversal of 168069968390016 is 610093869960861.

168069968390016 is a `hidden beast` number, since 1 + 6 + 80 + 6 + 99 + 68 + 390 + 0 + 16 = 666.

168069968390016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4984335 + ... + 18999566.

It is an arithmetic number, because the mean of its divisors is an integer number (1590132702600).

Almost surely, 2168069968390016 is an apocalyptic number.

168069968390016 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 168069968390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305305478899200).

168069968390016 is an abundant number, since it is smaller than the sum of its proper divisors (442540989408384).

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

168069968390016 is a wasteful number, since it uses less digits than its factorization.

168069968390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984018 (or 23984003 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 168069968390016 in words is "one hundred sixty-eight trillion, sixty-nine billion, nine hundred sixty-eight million, three hundred ninety thousand, sixteen".