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2412001696 = 251350311527
BaseRepresentation
bin1000111111000100…
…0011100110100000
320020002121101022011
42033301003212200
514414433023241
61035201322304
7113525450626
oct21761034640
96202541264
102412001696
11102856a635
12573936394
132c592b650
1418c4a5516
15e1b47281
hex8fc439a0

2412001696 has 48 divisors (see below), whose sum is σ = 5124518784. Its totient is φ = 1110921984.

The previous prime is 2412001639. The next prime is 2412001723. The reversal of 2412001696 is 6961002142.

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, 203485 + ... + 215011.

It is an arithmetic number, because the mean of its divisors is an integer number (106760808).

Almost surely, 22412001696 is an apocalyptic number.

2412001696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412001696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562259392).

2412001696 is an abundant number, since it is smaller than the sum of its proper divisors (2712517088).

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

2412001696 is a wasteful number, since it uses less digits than its factorization.

2412001696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12045 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2412001696 is about 49112.1338978465. The cubic root of 2412001696 is about 1341.0939488861.

The spelling of 2412001696 in words is "two billion, four hundred twelve million, one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 503 1006 2012 4024 6539 8048 11527 13078 16096 23054 26156 46108 52312 92216 104624 149851 184432 209248 299702 368864 599404 1198808 2397616 4795232 5798081 11596162 23192324 46384648 75375053 92769296 150750106 185538592 301500212 603000424 1206000848 2412001696