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68635616256 = 2103227292
BaseRepresentation
bin111111111011000000…
…000110010000000000
320120011100000120020100
4333323000012100000
52111031204210011
651310351242400
74646566053324
oct777300062000
9216140016210
1068635616256
112712101a3a9
1211375b19400
13661a8892ac
143471735984
151bba953d56
hexffb006400

68635616256 has 99 divisors (see below), whose sum is σ = 198256500481. Its totient is φ = 22870155264.

The previous prime is 68635616237. The next prime is 68635616279. The reversal of 68635616256 is 65261653686.

The square root of 68635616256 is 261984.

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

68635616256 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 5 + 6 + 1 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66143609856 + 2492006400 = 257184^2 + 49920^2 .

It is a Duffinian number.

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, 25149100 + ... + 25151828.

Almost surely, 268635616256 is an apocalyptic number.

68635616256 is the 261984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68635616256

68635616256 is an abundant number, since it is smaller than the sum of its proper divisors (129620884225).

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

68635616256 is an frugal number, since it uses more digits than its factorization.

68635616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 2734 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 68635616256 in words is "sixty-eight billion, six hundred thirty-five million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 2729 3072 4608 5458 8187 9216 10916 16374 21832 24561 32748 43664 49122 65496 87328 98244 130992 174656 196488 261984 349312 392976 523968 698624 785952 1047936 1397248 1571904 2095872 2794496 3143808 4191744 6287616 7447441 8383488 12575232 14894882 22342323 25150464 29789764 44684646 59579528 67026969 89369292 119159056 134053938 178738584 238318112 268107876 357477168 476636224 536215752 714954336 953272448 1072431504 1429908672 1906544896 2144863008 2859817344 3813089792 4289726016 5719634688 7626179584 8579452032 11439269376 17158904064 22878538752 34317808128 68635616256