Search a number
-
+
10372571345 = 541109464201
BaseRepresentation
bin10011010100100000…
…01110000011010001
3222202212211012221002
421222100032003101
5132220334240340
64433132111345
7515020254533
oct115220160321
928685735832
1010372571345
114443056414
122015905555
13c93c472a6
14705827853
1540a954715
hex26a40e0d1

10372571345 has 16 divisors (see below), whose sum is σ = 12867679440. Its totient is φ = 8021376000.

The previous prime is 10372571323. The next prime is 10372571347. The reversal of 10372571345 is 54317527301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2611456 + 10369959889 = 1616^2 + 101833^2 .

It is not a de Polignac number, because 10372571345 - 216 = 10372505809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10372571299 and 10372571308.

It is not an unprimeable number, because it can be changed into a prime (10372571347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209756 + ... + 254445.

It is an arithmetic number, because the mean of its divisors is an integer number (804229965).

Almost surely, 210372571345 is an apocalyptic number.

It is an amenable number.

10372571345 is a deficient number, since it is larger than the sum of its proper divisors (2495108095).

10372571345 is a wasteful number, since it uses less digits than its factorization.

10372571345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464356.

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 10372571345 in words is "ten billion, three hundred seventy-two million, five hundred seventy-one thousand, three hundred forty-five".

Divisors: 1 5 41 109 205 545 4469 22345 464201 2321005 19032241 50597909 95161205 252989545 2074514269 10372571345