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47784211216 = 24723722112
BaseRepresentation
bin101100100000001010…
…010011001100010000
311120100011102102211121
4230200022103030100
51240330224224331
633541325252024
73311065044100
oct544012231420
9146304372747
1047784211216
11192a0a3a155
129316a04014
1346769a09c1
142454343200
15139a0a9c11
hexb20293310

47784211216 has 135 divisors (see below), whose sum is σ = 111213797877. Its totient is φ = 19831029120.

The previous prime is 47784211193. The next prime is 47784211229. The reversal of 47784211216 is 61211248774.

The square root of 47784211216 is 218596.

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

It can be written as a sum of positive squares in only one way, i.e., 42757968400 + 5026242816 = 206780^2 + 70896^2 .

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, 226465351 + ... + 226465561.

Almost surely, 247784211216 is an apocalyptic number.

47784211216 is the 218596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47784211216

47784211216 is an abundant number, since it is smaller than the sum of its proper divisors (63429586661).

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

47784211216 is an equidigital number, since it uses as much as digits as its factorization.

47784211216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 257 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The spelling of 47784211216 in words is "forty-seven billion, seven hundred eighty-four million, two hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 211 259 296 392 422 518 592 784 844 1036 1369 1477 1688 1813 2072 2738 2954 3376 3626 4144 5476 5908 7252 7807 9583 10339 10952 11816 14504 15614 19166 20678 21904 23632 29008 31228 38332 41356 44521 54649 62456 67081 76664 82712 89042 109298 124912 134162 153328 165424 178084 218596 268324 288859 311647 356168 382543 437192 536648 577718 623294 712336 765086 874384 1073296 1155436 1246588 1530172 1647277 2022013 2181529 2310872 2493176 3060344 3294554 4044026 4363058 4621744 4986352 6120688 6589108 8088052 8726116 11530939 13178216 14154091 16176104 17452232 23061878 26356432 28308182 32352208 34904464 46123756 56616364 60949249 80716573 92247512 113232728 121898498 161433146 184495024 226465456 243796996 322866292 426644743 487593992 645732584 853289486 975187984 1291465168 1706578972 2986513201 3413157944 5973026402 6826315888 11946052804 23892105608 47784211216