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68985188352 = 2123817151
BaseRepresentation
bin100000000111111010…
…1100111000000000000
320121001200210200000000
41000033311213000000
52112240202011402
651405200000000
74661342266053
oct1001765470000
9217050720000
1068985188352
1127290382063
1211453000000
1366751227a2
1434a5d30a9a
151bdb4a5c1c
hex100fd67000

68985188352 has 468 divisors, whose sum is σ = 220542478416. Its totient is φ = 21499084800.

The previous prime is 68985188323. The next prime is 68985188381. The reversal of 68985188352 is 25388158986.

68985188352 is a `hidden beast` number, since 6 + 89 + 8 + 518 + 8 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (68985188323) and next prime (68985188381).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (33177600) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 68985188352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 456855477 + ... + 456855627.

It is an arithmetic number, because the mean of its divisors is an integer number (471244612).

Almost surely, 268985188352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68985188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110271239208).

68985188352 is an abundant number, since it is smaller than the sum of its proper divisors (151557290064).

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

68985188352 is an frugal number, since it uses more digits than its factorization.

68985188352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 68985188352 in words is "sixty-eight billion, nine hundred eighty-five million, one hundred eighty-eight thousand, three hundred fifty-two".