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1106699792004 = 22321753332
BaseRepresentation
bin10000000110101100011…
…100101010111010000100
310220210120210220110120100
4100012230130222322010
5121113010121321004
62204224425204100
7142646024006562
oct20065434527204
93823523813510
101106699792004
113973921a9984
1215a59b630630
1380490b3c841
143b7c91d8a32
151dbc3c69739
hex101ac72ae84

1106699792004 has 27 divisors (see below), whose sum is σ = 2797507096293. Its totient is φ = 368897826672.

The previous prime is 1106699791999. The next prime is 1106699792027. The reversal of 1106699792004 is 4002979966011.

It is a happy number.

The square root of 1106699792004 is 1051998.

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., 1070542008900 + 36157783104 = 1034670^2 + 190152^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 6224322 + ... + 6399654.

Almost surely, 21106699792004 is an apocalyptic number.

1106699792004 is the 1051998-th square number.

It is an amenable number.

1106699792004 is an abundant number, since it is smaller than the sum of its proper divisors (1690807304289).

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

1106699792004 is an frugal number, since it uses more digits than its factorization.

1106699792004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350676 (or 175338 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1106699792004 in words is "one trillion, one hundred six billion, six hundred ninety-nine million, seven hundred ninety-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 175333 350666 525999 701332 1051998 1577997 2103996 3155994 6311988 30741660889 61483321778 92224982667 122966643556 184449965334 276674948001 368899930668 553349896002 1106699792004