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68811669042480 = 2432571341534431091
BaseRepresentation
bin11111010010101011101110…
…00101101111010100110000
3100000122022221112021102210200
433221111313011233110300
533004402244233324410
6402203351102555200
720331323210120010
oct1751256705572460
9300568845242720
1068811669042480
111aa1a9572923a1
1278741b4898b00
132c51bb2b36c80
1412dc707007c40
157e4e394a43c0
hex3e957716f530

68811669042480 has 1920 divisors, whose sum is σ = 297798823655424. Its totient is φ = 13853063577600.

The previous prime is 68811669042463. The next prime is 68811669042517. The reversal of 68811669042480 is 8424096611886.

68811669042480 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 1 + 66 + 90 + 4 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63072106735 + ... + 63072107825.

Almost surely, 268811669042480 is an apocalyptic number.

68811669042480 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 68811669042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148899411827712).

68811669042480 is an abundant number, since it is smaller than the sum of its proper divisors (228987154612944).

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

68811669042480 is a wasteful number, since it uses less digits than its factorization.

68811669042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 68811669042480 in words is "sixty-eight trillion, eight hundred eleven billion, six hundred sixty-nine million, forty-two thousand, four hundred eighty".