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796861472896 = 27172976916421
BaseRepresentation
bin10111001100010001010…
…01010010000010000000
32211011211122110001012001
423212020221102002000
5101023433014113041
61410023442513344
7111366653522146
oct13461051220200
92734748401161
10796861472896
11287a46588945
1210a52b365854
135a1b3982348
142a7d55bd596
1515adc9d8131
hexb988a52080

796861472896 has 128 divisors (see below), whose sum is σ = 1741208238000. Its totient is φ = 361569976320.

The previous prime is 796861472887. The next prime is 796861472909. The reversal of 796861472896 is 698274168697.

It can be written as a sum of positive squares in 8 ways, for example, as 215912632896 + 580948840000 = 464664^2 + 762200^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48518766 + ... + 48535186.

Almost surely, 2796861472896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 796861472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870604119000).

796861472896 is an abundant number, since it is smaller than the sum of its proper divisors (944346765104).

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

796861472896 is a wasteful number, since it uses less digits than its factorization.

796861472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17250 (or 17238 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 73.

The spelling of 796861472896 in words is "seven hundred ninety-six billion, eight hundred sixty-one million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 769 928 986 1088 1538 1856 1972 2176 3076 3712 3944 6152 7888 12304 13073 15776 16421 22301 24608 26146 31552 32842 44602 49216 52292 63104 65684 89204 98432 104584 131368 178408 209168 262736 279157 356816 379117 418336 476209 525472 558314 713632 758234 836672 952418 1050944 1116628 1427264 1516468 1673344 1904836 2101888 2233256 2854528 3032936 3809672 4466512 6065872 7619344 8095553 8933024 12131744 12627749 15238688 16191106 17866048 24263488 25255498 30477376 32382212 35732096 48526976 50510996 60954752 64764424 101021992 129528848 202043984 214671733 259057696 366204721 404087968 429343466 518115392 732409442 808175936 858686932 1036230784 1464818884 1616351872 1717373864 2929637768 3434747728 5859275536 6225480257 6869495456 11718551072 12450960514 13738990912 23437102144 24901921028 27477981824 46874204288 49803842056 99607684112 199215368224 398430736448 796861472896