Search a number
-
+
1067070494080 = 27510715582221
BaseRepresentation
bin11111000011100100101…
…10111001010110000000
310210000021222101112201101
433201302112321112000
5114440330021302310
62134112211544144
7140044000355053
oct17416226712600
93700258345641
101067070494080
113815a6525898
1215297b8bb054
1379816811326
1439909d66a9a
151cb54aaa43a
hexf8725b9580

1067070494080 has 64 divisors (see below), whose sum is σ = 2574806363280. Its totient is φ = 422839121920.

The previous prime is 1067070494029. The next prime is 1067070494089. The reversal of 1067070494080 is 804940707601.

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

It is a super-2 number, since 2×10670704940802 (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 1067070494080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067070494089) 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 7 ways as a sum of consecutive naturals, for example, 7722631 + ... + 7859590.

Almost surely, 21067070494080 is an apocalyptic number.

1067070494080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067070494080 is an abundant number, since it is smaller than the sum of its proper divisors (1507735869200).

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

1067070494080 is a wasteful number, since it uses less digits than its factorization.

1067070494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15582347 (or 15582335 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 1067070494080 in words is "one trillion, sixty-seven billion, seventy million, four hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 320 428 535 640 856 1070 1712 2140 3424 4280 6848 8560 13696 17120 34240 68480 15582221 31164442 62328884 77911105 124657768 155822210 249315536 311644420 498631072 623288840 997262144 1246577680 1667297647 1994524288 2493155360 3334595294 4986310720 6669190588 8336488235 9972621440 13338381176 16672976470 26676762352 33345952940 53353524704 66691905880 106707049408 133383811760 213414098816 266767623520 533535247040 1067070494080