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2074302779536 = 24132276972
BaseRepresentation
bin11110001011110110000…
…101001001000010010000
321100022010201122010201201
4132023312011021002100
5232441133002421121
64224531015240544
7302602104465331
oct36136605110220
97308121563651
102074302779536
1172a7859298a9
1229601b979154
131207b5262400
147257ab14288
1538e56220e91
hex1e2f6149090

2074302779536 has 45 divisors (see below), whose sum is σ = 4352050499211. Its totient is φ = 957335947776.

The previous prime is 2074302779509. The next prime is 2074302779543. The reversal of 2074302779536 is 6359772034702.

It is a happy number.

The square root of 2074302779536 is 1440244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1588214939536 + 486087840000 = 1260244^2 + 697200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74878840 + ... + 74906536.

Almost surely, 22074302779536 is an apocalyptic number.

2074302779536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2074302779536 is the 1440244-th square number.

It is an amenable number.

2074302779536 is an abundant number, since it is smaller than the sum of its proper divisors (2277747719675).

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

2074302779536 is an frugal number, since it uses more digits than its factorization.

2074302779536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55428 (or 27712 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 55.

The spelling of 2074302779536 in words is "two trillion, seventy-four billion, three hundred two million, seven hundred seventy-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 27697 55394 110788 221576 360061 443152 720122 1440244 2880488 4680793 5760976 9361586 18723172 37446344 74892688 767123809 1534247618 3068495236 6136990472 9972609517 12273980944 19945219034 39890438068 79780876136 129643923721 159561752272 259287847442 518575694884 1037151389768 2074302779536