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192680167680 = 28325731121331
BaseRepresentation
bin1011001101110010100…
…0100000100100000000
3200102100012201200020200
42303130220200210000
511124102110331210
6224303244405200
716630536255000
oct2633450404400
9612305650220
10192680167680
1174795a27900
1231414246800
1315228993450
14947bcac000
15502aa300c0
hex2cdca20900

192680167680 has 2592 divisors, whose sum is σ = 949959628800. Its totient is φ = 35765452800.

The previous prime is 192680167643. The next prime is 192680167747. The reversal of 192680167680 is 86761086291.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6215489265 + ... + 6215489295.

Almost surely, 2192680167680 is an apocalyptic number.

192680167680 is a gapful number since it is divisible by the number (10) 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 192680167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474979814400).

192680167680 is an abundant number, since it is smaller than the sum of its proper divisors (757279461120).

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

192680167680 is a wasteful number, since it uses less digits than its factorization.

192680167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 192680167680 in words is "one hundred ninety-two billion, six hundred eighty million, one hundred sixty-seven thousand, six hundred eighty".