Search a number
-
+
12964744941050 = 252725291732629
BaseRepresentation
bin1011110010101001011100…
…0001000100110111111010
31200220102021100212222020102
42330222113001010313322
53144403244201103200
643323531022155402
72505446315503100
oct274522701046772
950812240788212
1012964744941050
114149354590141
1215547a2a22b62
137307549704a6
1432b6d5ac3c70
151773995236d5
hexbca97044dfa

12964744941050 has 36 divisors (see below), whose sum is σ = 28051474671630. Its totient is φ = 4445055407520.

The previous prime is 12964744941017. The next prime is 12964744941101. The reversal of 12964744941050 is 5014944746921.

It can be written as a sum of positive squares in 3 ways, for example, as 7254236570161 + 5710508370889 = 2693369^2 + 2389667^2 .

It is a super-2 number, since 2×129647449410502 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2645863865 + ... + 2645868764.

Almost surely, 212964744941050 is an apocalyptic number.

12964744941050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12964744941050 is an abundant number, since it is smaller than the sum of its proper divisors (15086729730580).

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

12964744941050 is a wasteful number, since it uses less digits than its factorization.

12964744941050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291732655 (or 5291732643 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 12964744941050 in words is "twelve trillion, nine hundred sixty-four billion, seven hundred forty-four million, nine hundred forty-one thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 5291732629 10583465258 26458663145 37042128403 52917326290 74084256806 132293315725 185210642015 259294898821 264586631450 370421284030 518589797642 926053210075 1296474494105 1852106420150 2592948988210 6482372470525 12964744941050