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276552672132520 = 235710927031335221
BaseRepresentation
bin111110111000010111101111…
…110010001011110110101000
31100021012011210012220122211201
4332320113233302023312220
5242222014333031220040
62420102313233533544
7112152162011153110
oct7670275762136650
91307164705818751
10276552672132520
1180133369784053
12270259164142b4
13bb40a609c0454
144c41313a4a040
1521e8b828c3a9a
hexfb85efc8bda8

276552672132520 has 128 divisors (see below), whose sum is σ = 717688311436800. Its totient is φ = 93944412748800.

The previous prime is 276552672132487. The next prime is 276552672132557. The reversal of 276552672132520 is 25231276255672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824818510 + ... + 825153730.

It is an arithmetic number, because the mean of its divisors is an integer number (5606939933100).

Almost surely, 2276552672132520 is an apocalyptic number.

276552672132520 is a gapful number since it is divisible by the number (20) 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 276552672132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358844155718400).

276552672132520 is an abundant number, since it is smaller than the sum of its proper divisors (441135639304280).

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

276552672132520 is a wasteful number, since it uses less digits than its factorization.

276552672132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362379 (or 362375 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 276552672132520 in words is "two hundred seventy-six trillion, five hundred fifty-two billion, six hundred seventy-two million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 109 140 218 280 436 545 763 872 1090 1526 2180 3052 3815 4360 6104 7630 15260 27031 30520 54062 108124 135155 189217 216248 270310 335221 378434 540620 670442 756868 946085 1081240 1340884 1513736 1676105 1892170 2346547 2681768 2946379 3352210 3784340 4693094 5892758 6704420 7568680 9386188 11732735 11785516 13408840 14731895 18772376 20624653 23465470 23571032 29463790 36539089 41249306 46930940 58927580 73078178 82498612 93861880 103123265 117855160 146156356 164997224 182695445 206246530 255773623 292312712 365390890 412493060 511547246 730781780 824986120 1023094492 1278868115 1461563560 2046188984 2557736230 5115472460 9061358851 10230944920 18122717702 36245435404 45306794255 63429511957 72490870808 90613588510 126859023914 181227177020 253718047828 317147559785 362454354040 507436095656 634295119570 987688114759 1268590239140 1975376229518 2537180478280 3950752459036 4938440573795 6913816803313 7901504918072 9876881147590 13827633606626 19753762295180 27655267213252 34569084016565 39507524590360 55310534426504 69138168033130 138276336066260 276552672132520