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68852957184 = 2143211217227
BaseRepresentation
bin100000000011111110…
…1001100000000000000
320120201110222121221100
41000013331030000000
52112002324112214
651344113454400
74655145323334
oct1000775140000
9216643877840
1068852957184
1127222776900
1211416871400
1366539055ab
14349254d7c4
151bcea86309
hex1007f4c000

68852957184 has 540 divisors, whose sum is σ = 232508602872. Its totient is φ = 19550699520.

The previous prime is 68852957149. The next prime is 68852957189. The reversal of 68852957184 is 48175925886.

68852957184 is a `hidden beast` number, since 6 + 8 + 8 + 52 + 9 + 571 + 8 + 4 = 666.

Its product of digits (38707200) is a multiple of the sum of its prime factors (300).

It is not an unprimeable number, because it can be changed into a prime (68852957189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303316879 + ... + 303317105.

Almost surely, 268852957184 is an apocalyptic number.

68852957184 is a gapful number since it is divisible by the number (64) 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 68852957184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116254301436).

68852957184 is an abundant number, since it is smaller than the sum of its proper divisors (163655645688).

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

68852957184 is a wasteful number, since it uses less digits than its factorization.

68852957184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 260 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 68852957184 in words is "sixty-eight billion, eight hundred fifty-two million, nine hundred fifty-seven thousand, one hundred eighty-four".