Search a number
-
+
10070216253 = 3219722932477
BaseRepresentation
bin10010110000011101…
…10100111000111101
3221222210212222201100
421120032310320331
5131110433410003
64343131403313
7504356266026
oct113016647075
927883788640
1010070216253
1142a8413579
121b505b3539
13c46403556
146b75ddc4d
153de12cba3
hex2583b4e3d

10070216253 has 24 divisors (see below), whose sum is σ = 14631985368. Its totient is φ = 6673790592.

The previous prime is 10070216243. The next prime is 10070216269. The reversal of 10070216253 is 35261207001.

It is a happy number.

10070216253 is a `hidden beast` number, since 10 + 0 + 7 + 0 + 21 + 625 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3274357284 + 6795858969 = 57222^2 + 82437^2 .

It is not a de Polignac number, because 10070216253 - 222 = 10066021949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10070216243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4064251 + ... + 4066727.

It is an arithmetic number, because the mean of its divisors is an integer number (609666057).

Almost surely, 210070216253 is an apocalyptic number.

It is an amenable number.

10070216253 is a deficient number, since it is larger than the sum of its proper divisors (4561769115).

10070216253 is a wasteful number, since it uses less digits than its factorization.

10070216253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10070216253 in words is "ten billion, seventy million, two hundred sixteen thousand, two hundred fifty-three".

Divisors: 1 3 9 197 591 1773 2293 2477 6879 7431 20637 22293 451721 487969 1355163 1463907 4065489 4391721 5679761 17039283 51117849 1118912917 3356738751 10070216253