Search a number
-
+
10366048264 = 23111319147441
BaseRepresentation
bin10011010011101110…
…10101100000001000
3222202102112210221111
421221313111200020
5132212202021024
64432340220104
7514610646025
oct115167254010
928672483844
1010366048264
11443a400540
12201369a634
13c927a2190
14704a0a54c
1540a0b6a94
hex269dd5808

10366048264 has 64 divisors (see below), whose sum is σ = 22954337280. Its totient is φ = 4326528000.

The previous prime is 10366048261. The next prime is 10366048307. The reversal of 10366048264 is 46284066301.

It is a super-2 number, since 2×103660482642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10366048261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194784 + ... + 242224.

It is an arithmetic number, because the mean of its divisors is an integer number (358661520).

Almost surely, 210366048264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10366048264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11477168640).

10366048264 is an abundant number, since it is smaller than the sum of its proper divisors (12588289016).

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

10366048264 is a wasteful number, since it uses less digits than its factorization.

10366048264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47662 (or 47658 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 10366048264 in words is "ten billion, three hundred sixty-six million, forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 191 286 382 572 764 1144 1528 2101 2483 4202 4966 8404 9932 16808 19864 27313 47441 54626 94882 109252 189764 218504 379528 521851 616733 1043702 1233466 2087404 2466932 4174808 4933864 6784063 9061231 13568126 18122462 27136252 36244924 54272504 72489848 99673541 117796003 199347082 235592006 398694164 471184012 797388328 942368024 1295756033 2591512066 5183024132 10366048264