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203356406344 = 2371316712291361
BaseRepresentation
bin1011110101100011111…
…1001000001001001000
3201102220020221210102111
42331120333020021020
511312433220000334
6233230505312104
720456234635150
oct2753077101110
9642806853374
10203356406344
1179274431a43
12334b3795634
131623a7c0830
149bb1b81760
155452e6a064
hex2f58fc8248

203356406344 has 128 divisors (see below), whose sum is σ = 472825382400. Its totient is φ = 79843184640.

The previous prime is 203356406339. The next prime is 203356406369. The reversal of 203356406344 is 443604653302.

It is a happy number.

It is a super-2 number, since 2×2033564063442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203356406297 and 203356406306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149416224 + ... + 149417584.

It is an arithmetic number, because the mean of its divisors is an integer number (3693948300).

Almost surely, 2203356406344 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 203356406344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236412691200).

203356406344 is an abundant number, since it is smaller than the sum of its proper divisors (269468976056).

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

203356406344 is a wasteful number, since it uses less digits than its factorization.

203356406344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

The spelling of 203356406344 in words is "two hundred three billion, three hundred fifty-six million, four hundred six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 167 182 334 364 668 728 1169 1229 1336 1361 2171 2338 2458 2722 4342 4676 4916 5444 8603 8684 9352 9527 9832 10888 15197 15977 17206 17368 17693 19054 30394 31954 34412 35386 38108 60788 63908 68824 70772 76216 111839 121576 123851 127816 141544 205243 223678 227287 247702 410486 447356 454574 495404 820972 894712 909148 990808 1436701 1591009 1641944 1672669 1818296 2668159 2873402 2954731 3182018 3345338 5336318 5746804 5909462 6364036 6690676 10672636 11493608 11708683 11818924 12728072 13381352 18677113 20683117 21345272 21744697 23417366 23637848 37354226 41366234 43489394 46834732 74708452 82732468 86978788 93669464 149416904 152212879 165464936 173957576 279335723 304425758 558671446 608851516 1117342892 1217703032 1955350061 2234685784 3631364399 3910700122 7262728798 7821400244 14525457596 15642800488 25419550793 29050915192 50839101586 101678203172 203356406344