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68750358480 = 243251927718143
BaseRepresentation
bin100000000000111010…
…1110011011111010000
320120110022221001222100
41000001311303133100
52111300042432410
651330010440400
74652461255626
oct1000165633720
9216408831870
1068750358480
112717a86a991
12113a8433100
136638591cbb
143482a83516
151bc5a6b8c0
hex1001d737d0

68750358480 has 240 divisors, whose sum is σ = 243929387520. Its totient is φ = 17304855552.

The previous prime is 68750358473. The next prime is 68750358491. The reversal of 68750358480 is 8485305786.

68750358480 is a `hidden beast` number, since 6 + 8 + 7 + 50 + 3 + 584 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×687503584802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3780289 + ... + 3798431.

It is an arithmetic number, because the mean of its divisors is an integer number (1016372448).

Almost surely, 268750358480 is an apocalyptic number.

68750358480 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 68750358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121964693760).

68750358480 is an abundant number, since it is smaller than the sum of its proper divisors (175179029040).

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

68750358480 is a wasteful number, since it uses less digits than its factorization.

68750358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18458 (or 18449 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 68750358480 in words is "sixty-eight billion, seven hundred fifty million, three hundred fifty-eight thousand, four hundred eighty".