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2076261973776 = 24321200772
BaseRepresentation
bin11110001101101010110…
…110110111111100010000
321100111012021012111222100
4132031222312313330100
5233004141031130101
64225453243440400
7303001464405024
oct36155266677420
97314167174870
102076261973776
117305a08354a1
12296487b26100
13120a38120243
14726c4dca384
153901d222e86
hex1e36adb7f10

2076261973776 has 45 divisors (see below), whose sum is σ = 5810698220821. Its totient is φ = 692081560896.

The previous prime is 2076261973733. The next prime is 2076261973837. The reversal of 2076261973776 is 6773791626702.

The square root of 2076261973776 is 1440924.

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

2076261973776 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 2 + 619 + 7 + 3 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2051368707600 + 24893266176 = 1432260^2 + 157776^2 .

It is a super-2 number, since 2×20762619737762 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17231050 + ... + 17351126.

Almost surely, 22076261973776 is an apocalyptic number.

2076261973776 is the 1440924-th square number.

It is an amenable number.

2076261973776 is an abundant number, since it is smaller than the sum of its proper divisors (3734436247045).

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

2076261973776 is an frugal number, since it uses more digits than its factorization.

2076261973776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240168 (or 120082 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 2076261973776 in words is "two trillion, seventy-six billion, two hundred sixty-one million, nine hundred seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 120077 240154 360231 480308 720462 960616 1080693 1440924 1921232 2161386 2881848 4322772 5763696 8645544 17291088 14418485929 28836971858 43255457787 57673943716 86510915574 115347887432 129766373361 173021831148 230695774864 259532746722 346043662296 519065493444 692087324592 1038130986888 2076261973776