Search a number
-
+
10202306592 = 253374366797
BaseRepresentation
bin10011000000001101…
…01101100000100000
3222100000102212121010
421200012231200200
5131343242302332
64404210500520
7510552114042
oct114006554040
928300385533
1010202306592
114365a32a45
121b88894740
13c678a160a
146cad85a92
153eaa209cc
hex2601ad820

10202306592 has 96 divisors (see below), whose sum is σ = 28144936512. Its totient is φ = 3231857664.

The previous prime is 10202306573. The next prime is 10202306599. The reversal of 10202306592 is 29560320201.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10202306599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119338 + ... + 186134.

It is an arithmetic number, because the mean of its divisors is an integer number (293176422).

Almost surely, 210202306592 is an apocalyptic number.

10202306592 is a gapful number since it is divisible by the number (12) 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 10202306592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14072468256).

10202306592 is an abundant number, since it is smaller than the sum of its proper divisors (17942629920).

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

10202306592 is a wasteful number, since it uses less digits than its factorization.

10202306592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66890 (or 66882 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 10202306592 its reverse (29560320201), we get a palindrome (39762626793).

The spelling of 10202306592 in words is "ten billion, two hundred two million, three hundred six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 74 86 96 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 2064 3182 3552 4128 4773 6364 9546 12728 19092 25456 38184 50912 66797 76368 133594 152736 200391 267188 400782 534376 801564 1068752 1603128 2137504 2471489 2872271 3206256 4942978 5744542 6412512 7414467 8616813 9885956 11489084 14828934 17233626 19771912 22978168 29657868 34467252 39543824 45956336 59315736 68934504 79087648 91912672 106274027 118631472 137869008 212548054 237262944 275738016 318822081 425096108 637644162 850192216 1275288324 1700384432 2550576648 3400768864 5101153296 10202306592