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402034466256512 = 2753347291706417
BaseRepresentation
bin101101101101001011111000…
…1100011000111011010000000
31221201111010020012110012121212
41123122113301203013122000
5410143413041330202022
63543020030055305252
7150453013600530305
oct13332276143073200
91851433205405555
10402034466256512
111071119502040a1
1239110b8137b228
13143438c2567b3b
14713c8017870ac
153172c8bdaa3e2
hex16da5f18c7680

402034466256512 has 64 divisors (see below), whose sum is σ = 816063863617800. Its totient is φ = 197218660614144.

The previous prime is 402034466256317. The next prime is 402034466256529. The reversal of 402034466256512 is 215652664430204.

It can be written as a sum of positive squares in 4 ways, for example, as 312267633841216 + 89766832415296 = 17671096^2 + 9474536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4020344662565122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234748328 + ... + 236454744.

Almost surely, 2402034466256512 is an apocalyptic number.

It is an amenable number.

402034466256512 is an abundant number, since it is smaller than the sum of its proper divisors (414029397361288).

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

402034466256512 is a wasteful number, since it uses less digits than its factorization.

402034466256512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741213 (or 1741201 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 402034466256512 in words is "four hundred two trillion, thirty-four billion, four hundred sixty-six million, two hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 34729 69458 138916 277832 555664 1111328 1706417 1840637 2222656 3412834 3681274 4445312 6825668 7362548 13651336 14725096 27302672 29450192 54605344 58900384 90440101 109210688 117800768 180880202 218421376 235601536 361760404 723520808 1447041616 2894083232 5788166464 11576332928 59262155993 118524311986 237048623972 474097247944 948194495888 1896388991776 3140894267629 3792777983552 6281788535258 7585555967104 12563577070516 25127154141032 50254308282064 100508616564128 201017233128256 402034466256512