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68098968256 = 26111914713461
BaseRepresentation
bin111111011011000000…
…111100101011000000
320111202221020000120111
4333123000330223000
52103431313441011
651141221121104
74630361452024
oct773300745300
9214687200514
1068098968256
1126976101860
1211246259194
1365636422b7
143420360384
151b8879c121
hexfdb03cac0

68098968256 has 112 divisors (see below), whose sum is σ = 155328030720. Its totient is φ = 29296512000.

The previous prime is 68098968233. The next prime is 68098968319. The reversal of 68098968256 is 65286989086.

68098968256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 68098968191 and 68098968200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19674366 + ... + 19677826.

Almost surely, 268098968256 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 68098968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77664015360).

68098968256 is an abundant number, since it is smaller than the sum of its proper divisors (87229062464).

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

68098968256 is a wasteful number, since it uses less digits than its factorization.

68098968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 68098968256 in words is "sixty-eight billion, ninety-eight million, nine hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1471 1672 2942 3344 3461 5884 6688 6922 11768 13376 13844 16181 23536 27688 27949 32362 38071 47072 55376 55898 64724 65759 76142 94144 110752 111796 129448 131518 152284 221504 223592 258896 263036 304568 307439 447184 517792 526072 609136 614878 723349 894368 1035584 1052144 1218272 1229756 1446698 1788736 2104288 2436544 2459512 2893396 4208576 4919024 5091131 5786792 9838048 10182262 11573584 19676096 20364524 23147168 40729048 46294336 56002441 81458096 96731489 112004882 162916192 193462978 224009764 325832384 386925956 448019528 773851912 896039056 1064046379 1547703824 1792078112 2128092758 3095407648 3584156224 4256185516 6190815296 8512371032 17024742064 34049484128 68098968256