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70686762481764 = 22321121324122392
BaseRepresentation
bin10000000100101000001011…
…010111100011100001100100
3100021021120220000101120022100
4100010220023113203201210
533231112442143404024
6410201014514532100
720613643604303652
oct2004501327434144
9307246800346270
1070686762481764
11205830a6691400
127b17699897030
13305996b80c900
141365386a53dd2
15828ad18807c9
hex404a0b5e3864

70686762481764 has 729 divisors, whose sum is σ = 218900177861547. Its totient is φ = 19209551961600.

The previous prime is 70686762481747. The next prime is 70686762481771. The reversal of 70686762481764 is 46718426768607.

The square root of 70686762481764 is 8407542.

It is a perfect power (a square), and thus also a powerful number.

70686762481764 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 6 + 76 + 2 + 481 + 76 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47082789656100 + 23603972825664 = 6861690^2 + 4858392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 70686762481692 and 70686762481701.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 295760512357 + ... + 295760512595.

Almost surely, 270686762481764 is an apocalyptic number.

70686762481764 is the 8407542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70686762481764

70686762481764 is an abundant number, since it is smaller than the sum of its proper divisors (148213415379783).

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

70686762481764 is a wasteful number, since it uses less digits than its factorization.

70686762481764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 70686762481764 in words is "seventy trillion, six hundred eighty-six billion, seven hundred sixty-two million, four hundred eighty-one thousand, seven hundred sixty-four".