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7796336164864 = 2161328392
BaseRepresentation
bin111000101110011100111…
…0110010000000000000000
31000121022201001221121102021
41301130321312100000000
52010213344024233424
624325330513131224
71433160322661152
oct161347166200000
930538631847367
107796336164864
112536453573515
12a5ab95259b14
13447264504400
141cd4b7b52ad2
15d7c020204e4
hex71739d90000

7796336164864 has 153 divisors (see below), whose sum is σ = 16904392412673. Its totient is φ = 3594020192256.

The previous prime is 7796336164831. The next prime is 7796336164901. The reversal of 7796336164864 is 4684616336977.

The square root of 7796336164864 is 2792192.

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

It can be written as a sum of positive squares in only one way, i.e., 1153304166400 + 6643031998464 = 1073920^2 + 2577408^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7796336164793 and 7796336164802.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9292414557 + ... + 9292415395.

Almost surely, 27796336164864 is an apocalyptic number.

7796336164864 is the 2792192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7796336164864

7796336164864 is an abundant number, since it is smaller than the sum of its proper divisors (9108056247809).

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

7796336164864 is an frugal number, since it uses more digits than its factorization.

7796336164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 854 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 70.

The spelling of 7796336164864 in words is "seven trillion, seven hundred ninety-six billion, three hundred thirty-six million, one hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 839 1024 1352 1664 1678 2048 2704 3328 3356 4096 5408 6656 6712 8192 10816 10907 13312 13424 16384 21632 21814 26624 26848 32768 43264 43628 53248 53696 65536 86528 87256 106496 107392 141791 173056 174512 212992 214784 283582 346112 349024 425984 429568 567164 692224 698048 703921 851968 859136 1134328 1384448 1396096 1407842 1718272 2268656 2768896 2792192 2815684 3436544 4537312 5537792 5584384 5631368 6873088 9074624 9150973 11075584 11168768 11262736 13746176 18149248 18301946 22337536 22525472 27492352 36298496 36603892 44675072 45050944 54984704 72596992 73207784 89350144 90101888 118962649 145193984 146415568 178700288 180203776 237925298 290387968 292831136 357400576 360407552 475850596 580775936 585662272 714801152 720815104 951701192 1161551872 1171324544 1441630208 1903402384 2323103744 2342649088 2883260416 3806804768 4646207488 4685298176 5766520832 7613609536 9292414976 9370596352 11533041664 15227219072 18741192704 23066083328 30454438144 37482385408 46132166656 60908876288 74964770816 121817752576 149929541632 243635505152 299859083264 487271010304 599718166528 974542020608 1949084041216 3898168082432 7796336164864