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46066066064 = 24171011676837
BaseRepresentation
bin101010111001110000…
…000110001010010000
311101220102102121202222
4222321300012022100
51223320403103224
633055031400212
73220363046414
oct527160061220
9141812377688
1046066066064
111859a103287
128b17523068
134461a40375
142330096d44
1512e931eb5e
hexab9c06290

46066066064 has 40 divisors (see below), whose sum is σ = 95438911608. Its totient is φ = 21463500800.

The previous prime is 46066066063. The next prime is 46066066091.

46066066064 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 39648774400 + 6417291664 = 199120^2 + 80108^2 .

It is a super-2 number, since 2×460660660642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46066066063) 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, 810947 + ... + 865890.

Almost surely, 246066066064 is an apocalyptic number.

It is an amenable number.

46066066064 is an abundant number, since it is smaller than the sum of its proper divisors (49372845544).

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

46066066064 is a wasteful number, since it uses less digits than its factorization.

46066066064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676963 (or 1676957 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 46066066064 in words is "forty-six billion, sixty-six million, sixty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 1676837 3353674 6707348 13414696 26829392 28506229 57012458 114024916 169360537 228049832 338721074 456099664 677442148 1354884296 2709768592 2879129129 5758258258 11516516516 23033033032 46066066064