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168816984 = 23377114153
BaseRepresentation
bin10100000111111…
…11000101011000
3102202122210100220
422003333011120
5321204120414
624430200040
74116630540
oct1203770530
9382583326
10168816984
1187324776
1248653020
1328c89a0b
14185c6320
15ec49ca9
hexa0ff158

168816984 has 64 divisors (see below), whose sum is σ = 489162240. Its totient is φ = 47550720.

The previous prime is 168816899. The next prime is 168817007. The reversal of 168816984 is 489618861.

168816984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4852 + ... + 19004.

It is an arithmetic number, because the mean of its divisors is an integer number (7643160).

Almost surely, 2168816984 is an apocalyptic number.

168816984 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 168816984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244581120).

168816984 is an abundant number, since it is smaller than the sum of its proper divisors (320345256).

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

168816984 is a wasteful number, since it uses less digits than its factorization.

168816984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14240 (or 14236 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 168816984 is about 12992.9590163288. The cubic root of 168816984 is about 552.6778325062.

The spelling of 168816984 in words is "one hundred sixty-eight million, eight hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 11928 14153 28306 42459 56612 84918 99071 113224 169836 198142 297213 339672 396284 594426 792568 1004863 1188852 2009726 2377704 3014589 4019452 6029178 7034041 8038904 12058356 14068082 21102123 24116712 28136164 42204246 56272328 84408492 168816984