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68611349269680 = 243572331210317939
BaseRepresentation
bin11111001100110110100110…
…00110011100110010110000
322222221011212220021121111020
433212123103012130302300
532443112020403112210
6401531341351015440
720311002124131540
oct1746332306346260
9288834786247436
1068611349269680
111a952a00a72158
12784140a06a580
132c3903a4b6129
1412d2b42687320
157deb12e17770
hex3e66d319ccb0

68611349269680 has 960 divisors, whose sum is σ = 264654443888640. Its totient is φ = 14375105648640.

The previous prime is 68611349269651. The next prime is 68611349269709. The reversal of 68611349269680 is 8696294311686.

It is an interprime number because it is at equal distance from previous prime (68611349269651) and next prime (68611349269709).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3824694151 + ... + 3824712089.

It is an arithmetic number, because the mean of its divisors is an integer number (275681712384).

Almost surely, 268611349269680 is an apocalyptic number.

68611349269680 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 68611349269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132327221944320).

68611349269680 is an abundant number, since it is smaller than the sum of its proper divisors (196043094618960).

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

68611349269680 is a wasteful number, since it uses less digits than its factorization.

68611349269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18150 (or 18113 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 69.

The spelling of 68611349269680 in words is "sixty-eight trillion, six hundred eleven billion, three hundred forty-nine million, two hundred sixty-nine thousand, six hundred eighty".