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6660601056 = 253310772047
BaseRepresentation
bin1100011010000000…
…01011010011100000
3122012012002120222000
412031000023103200
5102120103213211
63020531444000
7324025113654
oct61500132340
918165076860
106660601056
11290881017a
12135a756600
13821bc2075
1447284ca64
1528eb26656
hex18d00b4e0

6660601056 has 96 divisors (see below), whose sum is σ = 19608583680. Its totient is φ = 2199420288.

The previous prime is 6660601049. The next prime is 6660601067. The reversal of 6660601056 is 6501060666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6660601056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56425 + ... + 128471.

It is an arithmetic number, because the mean of its divisors is an integer number (204256080).

Almost surely, 26660601056 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 6660601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9804291840).

6660601056 is an abundant number, since it is smaller than the sum of its proper divisors (12947982624).

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

6660601056 is a wasteful number, since it uses less digits than its factorization.

6660601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72173 (or 72159 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6660601056 is about 81612.5055123294. The cubic root of 6660601056 is about 1881.5010887458.

The spelling of 6660601056 in words is "six billion, six hundred sixty million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1712 1926 2568 2889 3424 3852 5136 5778 7704 10272 11556 15408 23112 30816 46224 72047 92448 144094 216141 288188 432282 576376 648423 864564 1152752 1296846 1729128 1945269 2305504 2593692 3458256 3890538 5187384 6916512 7709029 7781076 10374768 15418058 15562152 20749536 23127087 30836116 31124304 46254174 61672232 62248608 69381261 92508348 123344464 138762522 185016696 208143783 246688928 277525044 370033392 416287566 555050088 740066784 832575132 1110100176 1665150264 2220200352 3330300528 6660601056