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68988964864 = 21225765537
BaseRepresentation
bin100000001000000010…
…0000001000000000000
320121001221220112101211
41000100010001000000
52112242133333424
651405412535504
74661416345231
oct1002004010000
9217057815354
1068988964864
1127292521446
1211454321594
136675b45701
1434a6635088
151bdb99eb94
hex1010101000

68988964864 has 52 divisors (see below), whose sum is σ = 138500013564. Its totient is φ = 34359738368.

The previous prime is 68988964843. The next prime is 68988964871. The reversal of 68988964864 is 46846988986.

It can be written as a sum of positive squares in 2 ways, for example, as 68685926400 + 303038464 = 262080^2 + 17408^2 .

It is an unprimeable number.

In principle, a polygon with 68988964864 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1019904 + ... + 1085440.

Almost surely, 268988964864 is an apocalyptic number.

68988964864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68988964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69250006782).

68988964864 is an abundant number, since it is smaller than the sum of its proper divisors (69511048700).

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

68988964864 is an equidigital number, since it uses as much as digits as its factorization.

68988964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65818 (or 65796 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 76.

The spelling of 68988964864 in words is "sixty-eight billion, nine hundred eighty-eight million, nine hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8224 16448 32896 65537 65792 131074 131584 262148 263168 524296 526336 1048592 1052672 2097184 4194368 8388736 16777472 16843009 33554944 33686018 67109888 67372036 134219776 134744072 268439552 269488144 538976288 1077952576 2155905152 4311810304 8623620608 17247241216 34494482432 68988964864