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953938227116 = 227523837433
BaseRepresentation
bin11011110000110110010…
…01100010111110101100
310101012021121001220211202
431320123021202332230
5111112131141231431
62010122210505032
7125630323100000
oct15703311427654
93335247056752
10953938227116
113386212951a6
12134a67b95178
136bc573cc624
1434256b8a700
1519c329e38cb
hexde1b262fac

953938227116 has 144 divisors (see below), whose sum is σ = 2057047985664. Its totient is φ = 386291934336.

The previous prime is 953938227097. The next prime is 953938227127. The reversal of 953938227116 is 611722839359.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128334536 + ... + 128341968.

It is an arithmetic number, because the mean of its divisors is an integer number (14285055456).

Almost surely, 2953938227116 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 953938227116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028523992832).

953938227116 is an abundant number, since it is smaller than the sum of its proper divisors (1103109758548).

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

953938227116 is an equidigital number, since it uses as much as digits as its factorization.

953938227116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7578 (or 7548 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 56.

The spelling of 953938227116 in words is "nine hundred fifty-three billion, nine hundred thirty-eight million, two hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 83 92 98 161 166 196 322 332 343 581 644 686 1127 1162 1372 1909 2254 2324 2401 3818 4067 4508 4802 7433 7636 7889 8134 9604 13363 14866 15778 16268 16807 26726 28469 29732 31556 33614 52031 53452 55223 56938 67228 93541 104062 110446 113876 170959 187082 199283 208124 220892 341918 364217 374164 386561 398566 616939 654787 683836 728434 773122 797132 1196713 1233878 1309574 1394981 1456868 1546244 2393426 2467756 2549519 2619148 2789962 4318573 4583509 4786852 5099038 5579924 8376991 8637146 9167018 10198076 14189597 16753982 17274292 17846633 18334036 28379194 30230011 32084563 33507964 35693266 56758388 58638937 60460022 64169126 71386532 99327179 117277874 120920044 124926431 128338252 198654358 211610077 234555748 249852862 397308716 410472559 423220154 499705724 695290253 820945118 846440308 1390580506 1481270539 1641890236 2781161012 2873307913 2962541078 4867031771 5746615826 5925082156 9734063542 10368893773 11493231652 19468127084 20737787546 34069222397 41475575092 68138444794 136276889588 238484556779 476969113558 953938227116