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1063734805248 = 28311631190947
BaseRepresentation
bin11110111101010111000…
…10010000001100000000
310202200200111200222212120
433132223202100030000
5114412012102231443
62132401212324240
7136565224441533
oct17365342201400
93680614628776
101063734805248
11380144625465
121521aa773680
137940471485b
14396b0d3aa1a
151ca0bd08083
hexf7ab890300

1063734805248 has 72 divisors (see below), whose sum is σ = 2833522536768. Its totient is φ = 354273088512.

The previous prime is 1063734805241. The next prime is 1063734805271. The reversal of 1063734805248 is 8425084373601.

It is a happy number.

It is a super-2 number, since 2×10637348052482 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063734805248.

It is not an unprimeable number, because it can be changed into a prime (1063734805241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297711 + ... + 1488657.

Almost surely, 21063734805248 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 1063734805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416761268384).

1063734805248 is an abundant number, since it is smaller than the sum of its proper divisors (1769787731520).

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

1063734805248 is a wasteful number, since it uses less digits than its factorization.

1063734805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192129 (or 1192115 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 1063734805248 in words is "one trillion, sixty-three billion, seven hundred thirty-four million, eight hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1163 2326 3489 4652 6978 9304 13956 18608 27912 37216 55824 74432 111648 148864 223296 297728 446592 893184 1190947 2381894 3572841 4763788 7145682 9527576 14291364 19055152 28582728 38110304 57165456 76220608 114330912 152441216 228661824 304882432 457323648 914647296 1385071361 2770142722 4155214083 5540285444 8310428166 11080570888 16620856332 22161141776 33241712664 44322283552 66483425328 88644567104 132966850656 177289134208 265933701312 354578268416 531867402624 1063734805248