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68863420080 = 2435572136783
BaseRepresentation
bin100000000100010010…
…1000110011010110000
320120202012200012100000
41000020211012122300
52112013013420310
651345130030000
74655333261400
oct1001045063260
9216665605300
1068863420080
1127228672824
121141a278300
136655b29a60
143493ab4800
151bd09514c0
hex10089466b0

68863420080 has 1440 divisors, whose sum is σ = 308606747904. Its totient is φ = 14140127232.

The previous prime is 68863420079. The next prime is 68863420081. The reversal of 68863420080 is 8002436886.

It is a happy number.

68863420080 is a `hidden beast` number, since 6 + 8 + 8 + 634 + 2 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68863420079) and next prime (68863420081).

It is a super-2 number, since 2×688634200802 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (68863420081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 829679719 + ... + 829679801.

Almost surely, 268863420080 is an apocalyptic number.

68863420080 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 68863420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154303373952).

68863420080 is an abundant number, since it is smaller than the sum of its proper divisors (239743327824).

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

68863420080 is a wasteful number, since it uses less digits than its factorization.

68863420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 68863420080 in words is "sixty-eight billion, eight hundred sixty-three million, four hundred twenty thousand, eighty".