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930211191828 = 223522315832711
BaseRepresentation
bin11011000100101001110…
…10000101110000010100
310021221001000110122100000
431202110322011300110
5110220033031114303
61551155542051300
7124130333446002
oct15422472056024
93257030418300
10930211191828
11329555a70426
12130345a19b30
1369945826689
14330458c7a72
15192e4970da3
hexd894e85c14

930211191828 has 144 divisors (see below), whose sum is σ = 2451841007616. Its totient is φ = 308371160160.

The previous prime is 930211191787. The next prime is 930211191829. The reversal of 930211191828 is 828191112039.

It is a super-2 number, since 2×9302111918282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930211191829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343123393 + ... + 343126103.

It is an arithmetic number, because the mean of its divisors is an integer number (17026673664).

Almost surely, 2930211191828 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 930211191828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225920503808).

930211191828 is an abundant number, since it is smaller than the sum of its proper divisors (1521629815788).

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

930211191828 is a wasteful number, since it uses less digits than its factorization.

930211191828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

It can be divided in two parts, 9302111 and 91828, that added together give a palindrome (9393939).

The spelling of 930211191828 in words is "nine hundred thirty billion, two hundred eleven million, one hundred ninety-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 223 243 324 446 486 669 892 972 1338 1583 2007 2676 2711 3166 4014 4749 5422 6021 6332 8028 8133 9498 10844 12042 14247 16266 18063 18996 24084 24399 28494 32532 36126 42741 48798 54189 56988 72252 73197 85482 97596 108378 128223 146394 170964 216756 219591 256446 292788 353009 384669 439182 512892 604553 658773 706018 769338 878364 1059027 1209106 1317546 1412036 1538676 1813659 2118054 2418212 2635092 3177081 3627318 4236108 4291513 5440977 6354162 7254636 8583026 9531243 10881954 12708324 12874539 16322931 17166052 19062486 21763908 25749078 28593729 32645862 38124972 38623617 48968793 51498156 57187458 65291724 77247234 85781187 97937586 114374916 115870851 146906379 154494468 171562374 195875172 231741702 293812758 343124748 347612553 463483404 587625516 695225106 957007399 1042837659 1390450212 1914014798 2085675318 2871022197 3828029596 4171350636 5742044394 8613066591 11484088788 17226133182 25839199773 34452266364 51678399546 77517599319 103356799092 155035198638 232552797957 310070397276 465105595914 930211191828