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2064810978 = 2321921971613
BaseRepresentation
bin111101100010010…
…1000001111100010
312022220022021011200
41323010220033202
513212042422403
6540520022030
7102111414036
oct17304501742
95286267150
102064810978
1196a59405a
12497601916
1326ba1a059
1415832a1c6
15c1415ca3
hex7b1283e2

2064810978 has 72 divisors (see below), whose sum is σ = 4748520348. Its totient is φ = 648333504.

The previous prime is 2064810971. The next prime is 2064810983. The reversal of 2064810978 is 8790184602.

It can be written as a sum of positive squares in 2 ways, for example, as 1774347129 + 290463849 = 42123^2 + 17043^2 .

It is not an unprimeable number, because it can be changed into a prime (2064810971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1279300 + ... + 1280912.

Almost surely, 22064810978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064810978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374260174).

2064810978 is an abundant number, since it is smaller than the sum of its proper divisors (2683709370).

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

2064810978 is a wasteful number, since it uses less digits than its factorization.

2064810978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2064810978 is about 45440.1912187878. The cubic root of 2064810978 is about 1273.3860862045.

It can be divided in two parts, 20648 and 10978, that added together give a triangular number (31626 = T251).

The spelling of 2064810978 in words is "two billion, sixty-four million, eight hundred ten thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 361 394 591 722 1083 1182 1613 1773 2166 3226 3249 3546 3743 4839 6498 7486 9678 11229 14517 22458 29034 30647 33687 61294 67374 71117 91941 142234 183882 213351 275823 317761 426702 551646 582293 635522 640053 953283 1164586 1280106 1746879 1906566 2859849 3493758 5240637 5719698 6037459 10481274 12074918 18112377 36224754 54337131 108674262 114711721 229423442 344135163 688270326 1032405489 2064810978