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1064153343512 = 237371493343997
BaseRepresentation
bin11110111110001000111…
…10110110011000011000
310202201202200020221102202
433133010132312120120
5114413341223443022
62132510523145332
7136611466113650
oct17370436663030
93681680227382
101064153343512
11380339902456
121522a6975248
137947034712c
1439710769360
151ca3392e592
hexf7c47b6618

1064153343512 has 64 divisors (see below), whose sum is σ = 2343534534720. Its totient is φ = 443441115648.

The previous prime is 1064153343511. The next prime is 1064153343529. The reversal of 1064153343512 is 2153433514601.

It is a super-2 number, since 2×10641533435122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064153343511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2921498 + ... + 3265494.

It is an arithmetic number, because the mean of its divisors is an integer number (36617727105).

Almost surely, 21064153343512 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 1064153343512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171767267360).

1064153343512 is an abundant number, since it is smaller than the sum of its proper divisors (1279381191208).

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

1064153343512 is a wasteful number, since it uses less digits than its factorization.

1064153343512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345540 (or 345536 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 1064153343512 in words is "one trillion, sixty-four billion, one hundred fifty-three million, three hundred forty-three thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 1493 2072 2986 5972 10451 11944 20902 41804 55241 83608 110482 220964 343997 386687 441928 687994 773374 1375988 1546748 2407979 2751976 3093496 4815958 9631916 12727889 19263832 25455778 50911556 89095223 101823112 178190446 356380892 513587521 712761784 1027175042 2054350084 3595112647 4108700168 7190225294 14380450588 19002738277 28760901176 38005476554 76010953108 133019167939 152021906216 266038335878 532076671756 1064153343512