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68497258452480 = 29345111319121579
BaseRepresentation
bin11111001001100010000101…
…10000100001011000000000
322222112021101201021120220000
433210301002300201120000
532434224341130434410
6401403112304520000
720266522630156404
oct1744610260413000
9288467351246800
1068497258452480
111a909584749590
127823289320000
132c2b35761a940
1412cb3dc06d104
157dbb86b0adc0
hex3e4c42c21600

68497258452480 has 1600 divisors, whose sum is σ = 303398668742400. Its totient is φ = 14521198510080.

The previous prime is 68497258452463. The next prime is 68497258452503. The reversal of 68497258452480 is 8425485279486.

It is a happy number.

68497258452480 is a `hidden beast` number, since 6 + 8 + 4 + 97 + 2 + 5 + 8 + 4 + 52 + 480 = 666.

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 = 68497258452399 and 68497258452408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 563336331 + ... + 563457909.

It is an arithmetic number, because the mean of its divisors is an integer number (189624167964).

Almost surely, 268497258452480 is an apocalyptic number.

68497258452480 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 68497258452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151699334371200).

68497258452480 is an abundant number, since it is smaller than the sum of its proper divisors (234901410289920).

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

68497258452480 is a wasteful number, since it uses less digits than its factorization.

68497258452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121657 (or 121632 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 68497258452480 in words is "sixty-eight trillion, four hundred ninety-seven billion, two hundred fifty-eight million, four hundred fifty-two thousand, four hundred eighty".