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1119986064 = 24328321129
BaseRepresentation
bin100001011000001…
…1010000110010000
32220001110012001100
41002300122012100
54243204023224
6303045104400
736516503331
oct10260320620
92801405040
101119986064
1152522611a
122730b8100
1314b05a962
14a8a62288
15684d2ac9
hex42c1a190

1119986064 has 90 divisors (see below), whose sum is σ = 3175434470. Its totient is φ = 368504064.

The previous prime is 1119986051. The next prime is 1119986099. The reversal of 1119986064 is 4606899111.

It can be written as a sum of positive squares in only one way, i.e., 723179664 + 396806400 = 26892^2 + 19920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 991452 + ... + 992580.

Almost surely, 21119986064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1119986064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587717235).

1119986064 is an abundant number, since it is smaller than the sum of its proper divisors (2055448406).

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

1119986064 is a wasteful number, since it uses less digits than its factorization.

1119986064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1119986064 is about 33466.1928518916. The cubic root of 1119986064 is about 1038.4945130549.

The spelling of 1119986064 in words is "one billion, one hundred nineteen million, nine hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1129 1328 1494 1992 2258 2988 3387 3984 4516 5976 6774 6889 9032 10161 11952 13548 13778 18064 20322 20667 27096 27556 40644 41334 54192 55112 62001 81288 82668 93707 110224 124002 162576 165336 187414 248004 281121 330672 374828 496008 562242 749656 843363 992016 1124484 1499312 1686726 2248968 3373452 4497936 6746904 7777681 13493808 15555362 23333043 31110724 46666086 62221448 69999129 93332172 124442896 139998258 186664344 279996516 373328688 559993032 1119986064