Search a number
-
+
68569902708480 = 2833523281306991
BaseRepresentation
bin11111001011101001011001…
…01100010111011100000000
322222210012220102021011002000
433211310230230113130000
532441422130043132410
6401500324535224000
720305004053152255
oct1745645454273400
9288705812234060
1068569902708480
111a937372513298
127835381818000
132c35163831cc4
1412d0b2dd2742c
157dd9d943edc0
hex3e5d2cb17700

68569902708480 has 576 divisors, whose sum is σ = 254811808419840. Its totient is φ = 17427994214400.

The previous prime is 68569902708473. The next prime is 68569902708583. The reversal of 68569902708480 is 8480720996586.

68569902708480 is a `hidden beast` number, since 6 + 8 + 56 + 9 + 90 + 2 + 7 + 0 + 8 + 480 = 666.

68569902708480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68569902708399 and 68569902708408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223207785 + ... + 223514775.

It is an arithmetic number, because the mean of its divisors is an integer number (442381611840).

Almost surely, 268569902708480 is an apocalyptic number.

68569902708480 is a gapful number since it is divisible by the number (60) 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 68569902708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127405904209920).

68569902708480 is an abundant number, since it is smaller than the sum of its proper divisors (186241905711360).

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

68569902708480 is a wasteful number, since it uses less digits than its factorization.

68569902708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307325 (or 307305 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 68569902708480 in words is "sixty-eight trillion, five hundred sixty-nine billion, nine hundred two million, seven hundred eight thousand, four hundred eighty".