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2660611664 = 242319137853
BaseRepresentation
bin1001111010010101…
…1011011001010000
320212102102002001202
42132211123121100
520422104033124
61120002050332
7122634553214
oct23645333120
96772362052
102660611664
111145933a17
126230499a8
133352a5439
141b34dc944
151088a45ae
hex9e95b650

2660611664 has 40 divisors (see below), whose sum is σ = 5407368192. Its totient is φ = 1265770880.

The previous prime is 2660611663. The next prime is 2660611693. The reversal of 2660611664 is 4661160662.

2660611664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×26606116643 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660611661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51362 + ... + 89214.

Almost surely, 22660611664 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 2660611664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703684096).

2660611664 is an abundant number, since it is smaller than the sum of its proper divisors (2746756528).

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

2660611664 is a wasteful number, since it uses less digits than its factorization.

2660611664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38075 (or 38069 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 2660611664 is about 51581.1173201977. The cubic root of 2660611664 is about 1385.6721772081.

The spelling of 2660611664 in words is "two billion, six hundred sixty million, six hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 764 1528 3056 4393 8786 17572 35144 37853 70288 75706 151412 302824 605648 870619 1741238 3482476 6964952 7229923 13929904 14459846 28919692 57839384 115678768 166288229 332576458 665152916 1330305832 2660611664