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68143817344 = 271499413797
BaseRepresentation
bin111111011101101100…
…000010001010000000
320111220001121120221211
4333131230002022000
52104024304123334
651145502255504
74631444614261
oct773554021200
9214801546854
1068143817344
1126999454619
1211259287594
13656ca16015
1434262b6968
151b8c6aaa64
hexfddb02280

68143817344 has 64 divisors (see below), whose sum is σ = 136847637000. Its totient is φ = 33798369280.

The previous prime is 68143817239. The next prime is 68143817363. The reversal of 68143817344 is 44371834186.

It can be written as a sum of positive squares in 4 ways, for example, as 27304257600 + 40839559744 = 165240^2 + 202088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17944854 + ... + 17948650.

Almost surely, 268143817344 is an apocalyptic number.

68143817344 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 68143817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68423818500).

68143817344 is an abundant number, since it is smaller than the sum of its proper divisors (68703819656).

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

68143817344 is a wasteful number, since it uses less digits than its factorization.

68143817344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4889 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The spelling of 68143817344 in words is "sixty-eight billion, one hundred forty-three million, eight hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 941 1192 1882 2384 3764 3797 4768 7528 7594 9536 15056 15188 19072 30112 30376 60224 60752 120448 121504 140209 243008 280418 486016 560836 565753 1121672 1131506 2243344 2263012 3572977 4486688 4526024 7145954 8973376 9052048 14291908 17946752 18104096 28583816 36208192 57167632 72416384 114335264 228670528 457341056 532373573 1064747146 2129494292 4258988584 8517977168 17035954336 34071908672 68143817344