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1988765575696 = 2441285992
BaseRepresentation
bin11100111100001011101…
…010100110101000010000
321001010100111021222001001
4130330023222212220100
5230040442441410241
64121343140151344
7263453315321314
oct34741352465020
97033314258031
101988765575696
116a74813585a9
12281529698554
13115702bbba23
146c3847d9b44
1536aeba84431
hex1cf0baa6a10

1988765575696 has 45 divisors (see below), whose sum is σ = 3949966181613. Its totient is φ = 970016730240.

The previous prime is 1988765575691. The next prime is 1988765575697. The reversal of 1988765575696 is 6965755678891.

The square root of 1988765575696 is 1410236.

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

It can be written as a sum of positive squares in only one way, i.e., 95829870096 + 1892935705600 = 309564^2 + 1375840^2 .

It is a Harshad number since it is a multiple of its sum of digits (82).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1988765575691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 231274405 + ... + 231283003.

Almost surely, 21988765575696 is an apocalyptic number.

1988765575696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1988765575696 is the 1410236-th square number.

It is an amenable number.

1988765575696 is a deficient number, since it is larger than the sum of its proper divisors (1961200605917).

1988765575696 is an frugal number, since it uses more digits than its factorization.

1988765575696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17288 (or 8642 counting only the distinct ones).

The product of its digits is 6858432000, while the sum is 82.

The spelling of 1988765575696 in words is "one trillion, nine hundred eighty-eight billion, seven hundred sixty-five million, five hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 8599 13448 17198 26896 34396 68792 137584 352559 705118 1410236 2820472 5640944 14454919 28909838 57819676 73942801 115639352 147885602 231278704 295771204 591542408 1183084816 3031654841 6063309682 12126619364 24253238728 48506477456 124297848481 248595696962 497191393924 994382787848 1988765575696