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1006066111556 = 2211374713148441
BaseRepresentation
bin11101010001111100011…
…01101001010001000100
310120011211110212211011102
432220332031221101010
5112440410411032211
62050102544155232
7132454153564322
oct16507615512104
93504743784142
101006066111556
11358741101330
12142b95608b18
1373b43c7126c
143699dd44d12
151b2840aca3b
hexea3e369444

1006066111556 has 48 divisors (see below), whose sum is σ = 2014551689472. Its totient is φ = 435476332800.

The previous prime is 1006066111537. The next prime is 1006066111577. The reversal of 1006066111556 is 6551116606001.

It is a super-2 number, since 2×10060661115562 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6497705 + ... + 6650736.

It is an arithmetic number, because the mean of its divisors is an integer number (41969826864).

Almost surely, 21006066111556 is an apocalyptic number.

It is an amenable number.

1006066111556 is an abundant number, since it is smaller than the sum of its proper divisors (1008485577916).

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

1006066111556 is a wasteful number, since it uses less digits than its factorization.

1006066111556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148540 (or 13148538 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The spelling of 1006066111556 in words is "one trillion, six billion, sixty-six million, one hundred eleven thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 37 44 47 74 94 148 188 407 517 814 1034 1628 1739 2068 3478 6956 19129 38258 76516 13148441 26296882 52593764 144632851 289265702 486492317 578531404 617976727 972984634 1235953454 1945969268 2471906908 5351415487 6797743997 10702830974 13595487994 21405661948 22865138899 27190975988 45730277798 91460555596 251516527889 503033055778 1006066111556