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80703719056 = 24292312792
BaseRepresentation
bin100101100101001010…
…0010000011010010000
321201022101021201001201
41023022110100122100
52310240123002211
6101024052440544
75554625202442
oct1131224203220
9251271251051
1080703719056
1131254166684
1213783619154
1377c1b76c1c
143c98400492
1521751780c1
hex12ca510690

80703719056 has 135 divisors (see below), whose sum is σ = 169478607753. Its totient is φ = 37226367360.

The previous prime is 80703719053. The next prime is 80703719099. The reversal of 80703719056 is 65091730708.

The square root of 80703719056 is 284084.

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., 42319072656 + 38384646400 = 205716^2 + 195920^2 .

It is a super-2 number, since 2×807037190562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80703718997 and 80703719015.

It is not an unprimeable number, because it can be changed into a prime (80703719051) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1021566025 + ... + 1021566103.

Almost surely, 280703719056 is an apocalyptic number.

80703719056 is the 284084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80703719056

80703719056 is an abundant number, since it is smaller than the sum of its proper divisors (88774888697).

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

80703719056 is an equidigital number, since it uses as much as digits as its factorization.

80703719056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 80703719056 in words is "eighty billion, seven hundred three million, seven hundred nineteen thousand, fifty-six".

Divisors: 1 2 4 8 16 29 31 58 62 79 116 124 158 232 248 316 464 496 632 841 899 961 1264 1682 1798 1922 2291 2449 3364 3596 3844 4582 4898 6241 6728 7192 7688 9164 9796 12482 13456 14384 15376 18328 19592 24964 26071 27869 36656 39184 49928 52142 55738 66439 71021 75919 99856 104284 111476 132878 142042 151838 180989 193471 208568 222952 265756 284084 303676 361978 386942 417136 445904 531512 568168 607352 723956 773884 808201 1063024 1136336 1214704 1447912 1547768 1616402 2059609 2201651 2895824 3095536 3232804 4119218 4403302 5248681 5610659 5997601 6465608 8238436 8806604 10497362 11221318 11995202 12931216 16476872 17613208 20994724 22442636 23990404 32953744 35226416 41989448 44885272 47980808 63847879 83978896 89770544 95961616 127695758 162709111 173930429 255391516 325418222 347860858 510783032 650836444 695721716 1021566064 1301672888 1391443432 2603345776 2782886864 5043982441 10087964882 20175929764 40351859528 80703719056