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860879642896 = 247213225492
BaseRepresentation
bin11001000011100000110…
…11001110000100010000
310001022002011221000221101
430201300123032010100
5103101040142033041
61455252130234144
7116124254141200
oct14416033160420
93038064830841
10860879642896
1130210812a559
1211aa16a25954
1363246a23400
142d949996400
15175d7d9eb31
hexc8706ce110

860879642896 has 135 divisors (see below), whose sum is σ = 2101830655311. Its totient is φ = 340434162432.

The previous prime is 860879642869. The next prime is 860879642897. The reversal of 860879642896 is 698246978068.

The square root of 860879642896 is 927836.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11651043600 + 849228599296 = 107940^2 + 921536^2 .

It is a super-2 number, since 2×8608796428962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (860879642897) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 337731030 + ... + 337733578.

Almost surely, 2860879642896 is an apocalyptic number.

860879642896 is the 927836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860879642896

860879642896 is an abundant number, since it is smaller than the sum of its proper divisors (1240951012415).

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

860879642896 is an equidigital number, since it uses as much as digits as its factorization.

860879642896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 73.

The spelling of 860879642896 in words is "eight hundred sixty billion, eight hundred seventy-nine million, six hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2549 2704 4732 5096 5098 8281 9464 10192 10196 16562 17843 18928 20392 33124 33137 35686 40784 66248 66274 71372 124901 132496 132548 142744 231959 249802 265096 285488 430781 463918 499604 530192 861562 927836 999208 1623713 1723124 1855672 1998416 3015467 3247426 3446248 3711344 6030934 6494852 6497401 6892496 12061868 12989704 12994802 21108269 24123736 25979408 25989604 42216538 45481807 48247472 51979208 84433076 84466213 90963614 103958416 168866152 168932426 181927228 318372649 337732304 337864852 363854456 591263491 636745298 675729704 727708912 1098060769 1182526982 1273490596 1351459408 2196121538 2365053964 2546981192 4138844437 4392243076 4730107928 5093962384 7686425383 8277688874 8784486152 9460215856 15372850766 16555377748 17568972304 30745701532 33110755496 53804977681 61491403064 66221510992 107609955362 122982806128 215219910724 430439821448 860879642896