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78328401730065 = 32517480121326821
BaseRepresentation
bin10001110011110101000000…
…100011111001101000010001
3101021100010021222210120121100
4101303311000203321220101
540231313031320330230
6434331323200215013
722333016546220444
oct2163650043715021
9337303258716540
1078328401730065
1122a59985839843
12895069b30a469
13349244b6433a6
14154b1872cb65b
1590c77c787660
hex473d408f9a11

78328401730065 has 48 divisors (see below), whose sum is σ = 143785604538576. Its totient is φ = 39309594624000.

The previous prime is 78328401730009. The next prime is 78328401730067. The reversal of 78328401730065 is 56003710482387.

It is a happy number.

78328401730065 is a `hidden beast` number, since 7 + 8 + 328 + 4 + 0 + 1 + 7 + 300 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6653366265744 + 71675035464321 = 2579412^2 + 8466111^2 .

It is not a de Polignac number, because 78328401730065 - 227 = 78328267512337 is a prime.

It is a super-2 number, since 2×783284017300652 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78328401729993 and 78328401730020.

It is not an unprimeable number, because it can be changed into a prime (78328401730067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6990646 + ... + 14336175.

It is an arithmetic number, because the mean of its divisors is an integer number (2995533427887).

Almost surely, 278328401730065 is an apocalyptic number.

It is an amenable number.

78328401730065 is a deficient number, since it is larger than the sum of its proper divisors (65457202808511).

78328401730065 is a wasteful number, since it uses less digits than its factorization.

78328401730065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21331650 (or 21331647 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 78328401730065 in words is "seventy-eight trillion, three hundred twenty-eight billion, four hundred one million, seven hundred thirty thousand, sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 4801 14403 24005 43209 72015 81617 216045 244851 408085 734553 1224255 3672765 21326821 63980463 106634105 191941389 319902315 362555957 959706945 1087667871 1812779785 3263003613 5438339355 16315018065 102390067621 307170202863 511950338105 921510608589 1535851014315 1740631149557 4607553042945 5221893448671 8703155747785 15665680346013 26109467243355 78328401730065