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1106651664 = 243241187441
BaseRepresentation
bin100000111110110…
…0010101000010000
32212010100201200200
41001331202220100
54231300323124
6301451215200
736265245456
oct10175425020
92763321620
101106651664
11518748858
1226a747500
1314836c491
14a6d909d6
156724bbc9
hex41f62a10

1106651664 has 60 divisors (see below), whose sum is σ = 3172643292. Its totient is φ = 359884800.

The previous prime is 1106651657. The next prime is 1106651681. The reversal of 1106651664 is 4661566011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 235929600 + 870722064 = 15360^2 + 29508^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87817 + ... + 99624.

Almost surely, 21106651664 is an apocalyptic number.

It is an amenable number.

1106651664 is an abundant number, since it is smaller than the sum of its proper divisors (2065991628).

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

1106651664 is a wasteful number, since it uses less digits than its factorization.

1106651664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187496 (or 187487 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1106651664 is about 33266.3743741334. The cubic root of 1106651664 is about 1034.3566568295.

The spelling of 1106651664 in words is "one billion, one hundred six million, six hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 187441 374882 562323 749764 1124646 1499528 1686969 2249292 2999056 3373938 4498584 6747876 7685081 8997168 13495752 15370162 23055243 26991504 30740324 46110486 61480648 69165729 92220972 122961296 138331458 184441944 276662916 368883888 553325832 1106651664