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273923329372 = 2272111014013137
BaseRepresentation
bin1111111100011100011…
…0100100110101011100
3222012001012001220111021
43333013012210311130
513441443333014442
6325501051333524
725535034611500
oct3770706446534
9865035056437
10273923329372
11a619663a740
12451084512a4
131caa55223a4
14d387bb0300
1571d3212e67
hex3fc71a4d5c

273923329372 has 144 divisors (see below), whose sum is σ = 616074602976. Its totient is φ = 105369600000.

The previous prime is 273923329369. The next prime is 273923329409.

273923329372 is nontrivially palindromic in base 10.

273923329372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 87318588 + ... + 87321724.

It is an arithmetic number, because the mean of its divisors is an integer number (4278295854).

Almost surely, 2273923329372 is an apocalyptic number.

273923329372 is a gapful number since it is divisible by the number (22) 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 273923329372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308037301488).

273923329372 is an abundant number, since it is smaller than the sum of its proper divisors (342151273604).

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

273923329372 is a wasteful number, since it uses less digits than its factorization.

273923329372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3659 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 52.

The spelling of 273923329372 in words is "two hundred seventy-three billion, nine hundred twenty-three million, three hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 101 154 196 202 308 401 404 539 707 802 1078 1111 1414 1604 2156 2222 2807 2828 3137 4411 4444 4949 5614 6274 7777 8822 9898 11228 12548 15554 17644 19649 19796 21959 30877 31108 34507 39298 40501 43918 54439 61754 69014 78596 81002 87836 108878 123508 138028 153713 162004 216139 217756 241549 283507 307426 316837 432278 445511 483098 567014 614852 633674 864556 891022 966196 1134028 1257937 1267348 1690843 1782044 1984549 2217859 2515874 3118577 3381686 3485207 3969098 4435718 5031748 6237154 6763372 6970414 7938196 8805559 8871436 12474308 13837307 13940828 15525013 17611118 21830039 24396449 27674614 31050026 35222236 43660078 48792898 55349228 61638913 62100052 87320156 96861149 97585796 123277826 127051637 170775143 193722298 246555652 254103274 341550286 387444596 508206548 678028043 683100572 889361459 1356056086 1397568007 1778722918 2712112172 2795136014 3557445836 5590272028 6225530213 9782976049 12451060426 19565952098 24902120852 39131904196 68480832343 136961664686 273923329372