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68963207040 = 27325713413209
BaseRepresentation
bin100000000111010000…
…1110000011110000000
320121000011102220022100
41000032201300132000
52112214040111130
651403052510400
74660654405440
oct1001641603600
9217004386270
1068963207040
1127279a29192
121144777b400
1366706c75b0
1434a304c120
151bd95b2c60
hex100e870780

68963207040 has 768 divisors, whose sum is σ = 300335817600. Its totient is φ = 14191165440.

The previous prime is 68963207023. The next prime is 68963207083. The reversal of 68963207040 is 4070236986.

68963207040 is a `hidden beast` number, since 6 + 8 + 9 + 632 + 0 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21488956 + ... + 21492164.

Almost surely, 268963207040 is an apocalyptic number.

68963207040 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 68963207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150167908800).

68963207040 is an abundant number, since it is smaller than the sum of its proper divisors (231372610560).

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

68963207040 is a wasteful number, since it uses less digits than its factorization.

68963207040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 68963207040 in words is "sixty-eight billion, nine hundred sixty-three million, two hundred seven thousand, forty".