Search a number
-
+
1067378113680 = 24354447408807
BaseRepresentation
bin11111000100001001011…
…00010111110010010000
310210001002102020020110220
433202010230113302100
5114441442244114210
62134202521153040
7140054424161154
oct17420454276220
93701072206426
101067378113680
11381744133a6a
12152a4692b780
1379865479368
1439938b61064
151cb71ac1c70
hexf884b17c90

1067378113680 has 40 divisors (see below), whose sum is σ = 3308872153152. Its totient is φ = 284634163584.

The previous prime is 1067378113667. The next prime is 1067378113709. The reversal of 1067378113680 is 863118737601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10673781136802 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2223704164 + ... + 2223704643.

Almost surely, 21067378113680 is an apocalyptic number.

1067378113680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067378113680 is an abundant number, since it is smaller than the sum of its proper divisors (2241494039472).

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

1067378113680 is a wasteful number, since it uses less digits than its factorization.

1067378113680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447408823 (or 4447408817 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1067378113680 in words is "one trillion, sixty-seven billion, three hundred seventy-eight million, one hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4447408807 8894817614 13342226421 17789635228 22237044035 26684452842 35579270456 44474088070 53368905684 66711132105 71158540912 88948176140 106737811368 133422264210 177896352280 213475622736 266844528420 355792704560 533689056840 1067378113680