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1071607061742 = 237113313721379
BaseRepresentation
bin11111001100000001100…
…00100001110011101110
310210110000010202001121220
433212000300201303232
5120024122401433432
62140142310204210
7140264264506620
oct17460060416356
93713003661556
101071607061742
11383514282268
12153827053666
137a08a64c2a9
1439c1a670c10
151cd1cebd72c
hexf980c21cee

1071607061742 has 64 divisors (see below), whose sum is σ = 2478961774080. Its totient is φ = 302493993984.

The previous prime is 1071607061719. The next prime is 1071607061773. The reversal of 1071607061742 is 2471607061701.

It is a super-2 number, since 2×10716070617422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1071607061694 and 1071607061703.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1124809 + ... + 1846187.

It is an arithmetic number, because the mean of its divisors is an integer number (38733777720).

Almost surely, 21071607061742 is an apocalyptic number.

1071607061742 is an abundant number, since it is smaller than the sum of its proper divisors (1407354712338).

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

1071607061742 is a wasteful number, since it uses less digits than its factorization.

1071607061742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721817.

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 1071607061742 in words is "one trillion, seventy-one billion, six hundred seven million, sixty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 113 226 313 339 626 678 791 939 1582 1878 2191 2373 4382 4746 6573 13146 35369 70738 106107 212214 247583 495166 721379 742749 1442758 1485498 2164137 4328274 5049653 10099306 15148959 30297918 81515827 163031654 225791627 244547481 451583254 489094962 570610789 677374881 1141221578 1354749762 1580541389 1711832367 3161082778 3423664734 4741624167 9483248334 25514453851 51028907702 76543361553 153086723106 178601176957 357202353914 535803530871 1071607061742