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47272326084 = 22344722572
BaseRepresentation
bin101100000001101001…
…100111001111000100
311112000111012222110000
4230001221213033010
51233303203413314
633414442001300
73262311066444
oct540151471704
9145014188400
1047272326084
1119058aa5295
1291b34a6230
1345c4916ca9
142406376124
15136a195209
hexb01a673c4

47272326084 has 135 divisors (see below), whose sum is σ = 126757699453. Its totient is φ = 15362168832.

The previous prime is 47272326067. The next prime is 47272326089. The reversal of 47272326084 is 48062327274.

The square root of 47272326084 is 217422.

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

47272326084 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 2 + 32 + 608 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46539432900 + 732893184 = 215730^2 + 27072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47272326089) 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, 183938884 + ... + 183939140.

Almost surely, 247272326084 is an apocalyptic number.

47272326084 is the 217422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47272326084

47272326084 is an abundant number, since it is smaller than the sum of its proper divisors (79485373369).

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

47272326084 is an equidigital number, since it uses as much as digits as its factorization.

47272326084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 47272326084 in words is "forty-seven billion, two hundred seventy-two million, three hundred twenty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 257 282 324 423 514 564 771 846 1028 1269 1542 1692 2209 2313 2538 3084 3807 4418 4626 5076 6627 6939 7614 8836 9252 12079 13254 13878 15228 19881 20817 24158 26508 27756 36237 39762 41634 48316 59643 66049 72474 79524 83268 108711 119286 132098 144948 178929 198147 217422 238572 264196 326133 357858 396294 434844 567713 594441 652266 715716 792588 978399 1135426 1188882 1304532 1703139 1783323 1956798 2270852 2377764 3104303 3406278 3566646 3913596 5109417 5349969 6208606 6812556 7133292 9312909 10218834 10699938 12417212 15328251 18625818 20437668 21399876 27938727 30656502 37251636 45984753 55877454 61313004 83816181 91969506 111754908 145902241 167632362 183939012 251448543 291804482 335264724 437706723 502897086 583608964 875413446 1005794172 1313120169 1750826892 2626240338 3939360507 5252480676 7878721014 11818081521 15757442028 23636163042 47272326084