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1034478170648 = 231389285739119
BaseRepresentation
bin11110000110110111011…
…01000011001000011000
310122220011120011222010022
433003123231003020120
5113422102402430043
62111122133210012
7134511222236666
oct17033355031030
93586146158108
101034478170648
113697a0a5a8aa
121485a4790908
1376721363450
14380d7517c36
151bd985ba868
hexf0dbb43218

1034478170648 has 64 divisors (see below), whose sum is σ = 2113113744000. Its totient is φ = 471909537792.

The previous prime is 1034478170647. The next prime is 1034478170651. The reversal of 1034478170648 is 8460718744301.

It is a Cunningham number, because it is equal to 10170932-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1034478170648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034478170647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26424833 + ... + 26463951.

It is an arithmetic number, because the mean of its divisors is an integer number (33017402250).

Almost surely, 21034478170648 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 1034478170648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056556872000).

1034478170648 is an abundant number, since it is smaller than the sum of its proper divisors (1078635573352).

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

1034478170648 is a wasteful number, since it uses less digits than its factorization.

1034478170648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42084 (or 42080 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 1034478170648 in words is "one trillion, thirty-four billion, four hundred seventy-eight million, one hundred seventy thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 2857 4628 5714 9256 11428 22856 37141 39119 74282 78238 148564 156476 254273 297128 312952 508546 508547 1017092 1017094 2034184 2034188 3305549 3481591 4068376 6611098 6963182 13222196 13926364 26444392 27852728 45260683 90521366 111762983 181042732 223525966 362085464 447051932 894103864 1452918779 2905837558 5811675116 9946905487 11623350232 19893810974 39787621948 79575243896 129309771331 258619542662 517239085324 1034478170648