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1116674065984 = 2631242612
BaseRepresentation
bin10000001111111110111…
…101100000011001000000
310221202022221021002020011
4100033332331200121000
5121243422030102414
62212554252354304
7143451136643551
oct20177675403100
93852287232204
101116674065984
113a0640442614
12160503a75994
13813c03c04c9
143c093b82328
151e0a9744dc4
hex103fef60640

1116674065984 has 63 divisors (see below), whose sum is σ = 2290224060513. Its totient is φ = 540199353600.

The previous prime is 1116674065979. The next prime is 1116674065993. The reversal of 1116674065984 is 4895604766111.

It is a happy number.

The square root of 1116674065984 is 1056728.

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., 1079255032384 + 37419033600 = 1038872^2 + 193440^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 262066414 + ... + 262070674.

Almost surely, 21116674065984 is an apocalyptic number.

1116674065984 is the 1056728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116674065984

1116674065984 is an abundant number, since it is smaller than the sum of its proper divisors (1173549994529).

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

1116674065984 is an frugal number, since it uses more digits than its factorization.

1116674065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 1116674065984 in words is "one trillion, one hundred sixteen billion, six hundred seventy-four million, sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 4261 7688 8522 15376 17044 30752 34088 61504 68176 132091 136352 264182 272704 528364 1056728 2113456 4094821 4226912 8189642 8453824 16379284 18156121 32758568 36312242 65517136 72624484 131034272 145248968 262068544 290497936 562839751 580995872 1125679502 1161991744 2251359004 4502718008 9005436016 17448032281 18010872032 34896064562 36021744064 69792129124 139584258248 279168516496 558337032992 1116674065984