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68852221152 = 253111317312307
BaseRepresentation
bin100000000011111101…
…0011000010011100000
320120201102121020021220
41000013322120103200
52112002132034102
651344050015040
74655136136431
oct1000772302340
9216642536256
1068852221152
1127222313910
1211416577480
136653708580
1434923db488
151bce98d1bc
hex1007e984e0

68852221152 has 576 divisors, whose sum is σ = 233067808512. Its totient is φ = 17484595200.

The previous prime is 68852221133. The next prime is 68852221181. The reversal of 68852221152 is 25112225886.

Its product of digits (153600) is a multiple of the sum of its prime divisors (384).

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, 224274183 + ... + 224274489.

It is an arithmetic number, because the mean of its divisors is an integer number (404631612).

Almost surely, 268852221152 is an apocalyptic number.

68852221152 is a gapful number since it is divisible by the number (62) 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 68852221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116533904256).

68852221152 is an abundant number, since it is smaller than the sum of its proper divisors (164215587360).

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

68852221152 is a wasteful number, since it uses less digits than its factorization.

68852221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 384 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The spelling of 68852221152 in words is "sixty-eight billion, eight hundred fifty-two million, two hundred twenty-one thousand, one hundred fifty-two".