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68103153470880 = 25345114173193827
BaseRepresentation
bin11110111110000100000000…
…10001010100110110100000
322221010121010212020011220000
433133002000101110312200
532411300224242032010
6400502053511220000
720226201426123063
oct1737020021246640
9287117125204800
1068103153470880
111a777426763820
12777aa20377600
132c0013b3ac288
1412b62d2b8c8da
157d17bca0e7c0
hex3df080454da0

68103153470880 has 1920 divisors, whose sum is σ = 274013205371136. Its totient is φ = 15785105817600.

The previous prime is 68103153470867. The next prime is 68103153470897. The reversal of 68103153470880 is 8807435130186.

It is a happy number.

68103153470880 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 31 + 534 + 70 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 82349641027 + ... + 82349641853.

Almost surely, 268103153470880 is an apocalyptic number.

68103153470880 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 68103153470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137006602685568).

68103153470880 is an abundant number, since it is smaller than the sum of its proper divisors (205910051900256).

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

68103153470880 is a wasteful number, since it uses less digits than its factorization.

68103153470880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 68103153470880 in words is "sixty-eight trillion, one hundred three billion, one hundred fifty-three million, four hundred seventy thousand, eight hundred eighty".