Search a number
-
+
10216437329 = 72474436143
BaseRepresentation
bin10011000001111001…
…00111011001010001
3222101000000210022202
421200330213121101
5131410401443304
64405433412545
7511113166400
oct114074473121
928330023282
1010216437329
114372a0463a
121b9156a155
13c6a7ab3b7
146ccbc3637
153ebdb281e
hex260f27651

10216437329 has 12 divisors (see below), whose sum is σ = 12137289984. Its totient is φ = 8570626344.

The previous prime is 10216437307. The next prime is 10216437337. The reversal of 10216437329 is 92373461201.

It is not a de Polignac number, because 10216437329 - 212 = 10216433233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10216437292 and 10216437301.

It is not an unprimeable number, because it can be changed into a prime (10216437379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2215769 + ... + 2220374.

It is an arithmetic number, because the mean of its divisors is an integer number (1011440832).

Almost surely, 210216437329 is an apocalyptic number.

It is an amenable number.

10216437329 is a deficient number, since it is larger than the sum of its proper divisors (1920852655).

10216437329 is an equidigital number, since it uses as much as digits as its factorization.

10216437329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436204 (or 4436197 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 10216437329 in words is "ten billion, two hundred sixteen million, four hundred thirty-seven thousand, three hundred twenty-nine".

Divisors: 1 7 47 49 329 2303 4436143 31053001 208498721 217371007 1459491047 10216437329