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2067028941978 = 23273114131759
BaseRepresentation
bin11110000101000100100…
…001101001110010011010
321022121100210121220102200
4132011010201221302122
5232331233402120403
64221325135511030
7302223622053000
oct36050441516232
97277323556380
102067028941978
11727692a50000
1229472b988476
1311cbc62bba10
147208aa74a70
1538b7c864ca3
hex1e144869c9a

2067028941978 has 480 divisors, whose sum is σ = 6190504320000. Its totient is φ = 495309608640.

The previous prime is 2067028941911. The next prime is 2067028941983. The reversal of 2067028941978 is 8791498207602.

2067028941978 is a `hidden beast` number, since 2 + 0 + 6 + 70 + 2 + 89 + 419 + 78 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1175115063 + ... + 1175116821.

It is an arithmetic number, because the mean of its divisors is an integer number (12896884000).

Almost surely, 22067028941978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067028941978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095252160000).

2067028941978 is an abundant number, since it is smaller than the sum of its proper divisors (4123475378022).

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

2067028941978 is a wasteful number, since it uses less digits than its factorization.

2067028941978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 2067028941978 in words is "two trillion, sixty-seven billion, twenty-eight million, nine hundred forty-one thousand, nine hundred seventy-eight".