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68914971740160 = 2113257138217311
BaseRepresentation
bin11111010101101100001000…
…11010010000100000000000
3100001000012120212112012112200
433222312010122100200000
533013100330231141120
6402323033450153200
720341641146424510
oct1752660432204000
9301005525465480
1068914971740160
111aa5a747a35107
127890224722800
132c5b8669618a0
141303706947840
157e7983625e90
hex3ead84690800

68914971740160 has 576 divisors, whose sum is σ = 293965462103040. Its totient is φ = 14540299960320.

The previous prime is 68914971740141. The next prime is 68914971740171. The reversal of 68914971740160 is 6104717941986.

68914971740160 is a `hidden beast` number, since 6 + 8 + 91 + 497 + 1 + 7 + 40 + 16 + 0 = 666.

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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4277905 + ... + 12495215.

It is an arithmetic number, because the mean of its divisors is an integer number (510356705040).

Almost surely, 268914971740160 is an apocalyptic number.

68914971740160 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 68914971740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146982731051520).

68914971740160 is an abundant number, since it is smaller than the sum of its proper divisors (225050490362880).

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

68914971740160 is a wasteful number, since it uses less digits than its factorization.

68914971740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217364 (or 8217341 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 68914971740160 in words is "sixty-eight trillion, nine hundred fourteen billion, nine hundred seventy-one million, seven hundred forty thousand, one hundred sixty".