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3781240064 = 28719710711
BaseRepresentation
bin1110000101100001…
…0010010100000000
3100202112001220020022
43201120102110000
530220444140224
61423113033012
7162463003340
oct34130222400
910675056208
103781240064
111670458698
128963b5768
134834c9574
1427c28ad20
15171e6265e
hexe1612500

3781240064 has 72 divisors (see below), whose sum is σ = 8670549888. Its totient is φ = 1612154880.

The previous prime is 3781240063. The next prime is 3781240069. The reversal of 3781240064 is 4600421873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781240063) 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, 347669 + ... + 358379.

It is an arithmetic number, because the mean of its divisors is an integer number (120424304).

Almost surely, 23781240064 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 3781240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335274944).

3781240064 is an abundant number, since it is smaller than the sum of its proper divisors (4889309824).

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

3781240064 is a wasteful number, since it uses less digits than its factorization.

3781240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10931 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 3781240064 is about 61491.7885900223. The cubic root of 3781240064 is about 1557.9185565079.

The spelling of 3781240064 in words is "three billion, seven hundred eighty-one million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 256 394 448 788 896 1379 1576 1792 2758 3152 5516 6304 10711 11032 12608 21422 22064 25216 42844 44128 50432 74977 85688 88256 149954 171376 176512 299908 342752 353024 599816 685504 1199632 1371008 2110067 2399264 2742016 4220134 4798528 8440268 9597056 14770469 16880536 19194112 29540938 33761072 59081876 67522144 118163752 135044288 236327504 270088576 472655008 540177152 945310016 1890620032 3781240064