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92743393444 = 22134172532
BaseRepresentation
bin101011001011111101…
…1111110000010100100
322212101110001112102221
41112113323332002210
53004414302042234
6110334500442124
76462160560112
oct1262773760244
9285343045387
1092743393444
11363722561a9
1215b836a9344
1389902c0000
1446bb3c8ab2
15262c133eb4
hex1597efe0a4

92743393444 has 135 divisors (see below), whose sum is σ = 190367194367. Its totient is φ = 39526596096.

The previous prime is 92743393441. The next prime is 92743393447. The reversal of 92743393444 is 44439334729.

The square root of 92743393444 is 304538.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (92743393441) and next prime (92743393447).

It can be written as a sum of positive squares in 22 ways, for example, as 86752633444 + 5990760000 = 294538^2 + 77400^2 .

It is a super-2 number, since 2×927433934442 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 92743393391 and 92743393400.

It is not an unprimeable number, because it can be changed into a prime (92743393441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1749875322 + ... + 1749875374.

Almost surely, 292743393444 is an apocalyptic number.

92743393444 is the 304538-th square number.

It is an amenable number.

92743393444 is an abundant number, since it is smaller than the sum of its proper divisors (97623800923).

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

92743393444 is an equidigital number, since it uses as much as digits as its factorization.

92743393444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 85 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 52.

The spelling of 92743393444 in words is "ninety-two billion, seven hundred forty-three million, three hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 4 13 17 26 34 52 53 68 106 169 212 221 289 338 442 578 676 689 884 901 1156 1378 1802 2197 2756 2809 2873 3604 3757 4394 5618 5746 7514 8788 8957 11236 11492 11713 15028 15317 17914 23426 28561 30634 35828 36517 37349 46852 47753 48841 57122 61268 73034 74698 95506 97682 114244 116441 146068 149396 152269 191012 195364 199121 232882 304538 398242 465764 474721 485537 609076 620789 634933 796484 811801 949442 971074 1241578 1269866 1513733 1623602 1898884 1942148 1979497 2483156 2539732 2588573 3027466 3247204 3958994 5177146 6054932 6171373 7917988 8070257 8254129 10354292 10553413 12342746 16140514 16508258 21106826 24685492 25733461 32281028 33016516 33651449 42213652 51466922 67302898 80227849 102933844 104913341 134605796 137194369 160455698 209826682 274388738 320911396 419653364 437468837 548777476 874937674 1363873433 1749875348 1783526797 2727746866 3567053594 5455493732 7134107188 23185848361 46371696722 92743393444