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293881083664 = 247219210192
BaseRepresentation
bin1000100011011001010…
…11010111011100010000
31001002120002002212112011
410101230223113130100
514303332024134124
6343001311312304
730142434665200
oct4215453273420
91032502085464
10293881083664
111036a8234953
1248b5821b694
132193622825c
141031c61a400
1579a03d6994
hex446cad7710

293881083664 has 135 divisors (see below), whose sum is σ = 699739352487. Its totient is φ = 119203043904.

The previous prime is 293881083631. The next prime is 293881083709. The reversal of 293881083664 is 466380188392.

The square root of 293881083664 is 542108.

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

It is a junction number, because it is equal to n+sod(n) for n = 293881083599 and 293881083608.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288400947 + ... + 288401965.

Almost surely, 2293881083664 is an apocalyptic number.

293881083664 is the 542108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293881083664

293881083664 is an abundant number, since it is smaller than the sum of its proper divisors (405858268823).

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

293881083664 is an equidigital number, since it uses as much as digits as its factorization.

293881083664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 293881083664 in words is "two hundred ninety-three billion, eight hundred eighty-one million, eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 532 722 784 931 1019 1064 1444 1862 2038 2128 2527 2888 3724 4076 5054 5776 7133 7448 8152 10108 14266 14896 16304 17689 19361 20216 28532 35378 38722 40432 49931 57064 70756 77444 99862 114128 135527 141512 154888 199724 271054 283024 309776 367859 399448 542108 735718 798896 948689 1038361 1084216 1471436 1897378 2076722 2168432 2575013 2942872 3794756 4153444 5150026 5885744 7268527 7589512 8306888 10300052 14537054 15179024 16613776 18025091 19728859 20600104 29074108 36050182 39457718 41200208 50879689 58148216 72100364 78915436 101759378 116296432 138102013 144200728 157830872 203518756 276204026 288401456 315661744 374848321 407037512 552408052 749696642 814075024 966714091 1104816104 1499393284 1933428182 2209632208 2623938247 2998786568 3866856364 5247876494 5997573136 7733712728 10495752988 15467425456 18367567729 20991505976 36735135458 41983011952 73470270916 146940541832 293881083664