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127207676728672 = 2547569266355819
BaseRepresentation
bin11100111011000111011000…
…011000100101010101100000
3121200101221020201010220211021
4130323013120120211111200
5113133132310220304142
61130314222215255224
735536310546416501
oct3473073030452540
9550357221126737
10127207676728672
1137594522241611
121232584967a514
1355c982b62c367
14235ac54b40ba8
15ea8e6c21a267
hex73b1d8625560

127207676728672 has 96 divisors (see below), whose sum is σ = 256318938086400. Its totient is φ = 62116713888768.

The previous prime is 127207676728663. The next prime is 127207676728723. The reversal of 127207676728672 is 276827676702721.

127207676728672 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 15 ways as a sum of consecutive naturals, for example, 2278903579 + ... + 2278959397.

It is an arithmetic number, because the mean of its divisors is an integer number (2669988938400).

Almost surely, 2127207676728672 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 127207676728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128159469043200).

127207676728672 is an abundant number, since it is smaller than the sum of its proper divisors (129111261357728).

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

127207676728672 is a wasteful number, since it uses less digits than its factorization.

127207676728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59108 (or 59100 counting only the distinct ones).

The product of its (nonzero) digits is 464679936, while the sum is 70.

The spelling of 127207676728672 in words is "one hundred twenty-seven trillion, two hundred seven billion, six hundred seventy-six million, seven hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 569 752 1138 1504 2276 2663 4552 5326 9104 10652 18208 21304 26743 42608 53486 55819 85216 106972 111638 125161 213944 223276 250322 427888 446552 500644 855776 893104 1001288 1515247 1786208 2002576 2623493 3030494 4005152 5246986 6060988 10493972 12121976 20987944 24243952 31761011 41975888 48487904 63522022 71216609 83951776 127044044 142433218 148645997 254088088 284866436 297291994 508176176 569732872 594583988 1016352352 1139465744 1189167976 1492767517 2278931488 2378335952 2985535034 4756671904 5971070068 6986361859 11942140136 13972723718 23884280272 27945447436 47768560544 55890894872 84579572293 111781789744 169159144586 223563579488 338318289172 676636578344 1353273156688 2706546313376 3975239897771 7950479795542 15900959591084 31801919182168 63603838364336 127207676728672