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47211006888078 = 231143137149814937
BaseRepresentation
bin10101011110000001010110…
…10010111000100010001110
320012011022212020120112002120
422233000223102320202032
522142001120230404303
6244224234231433410
712641611522212525
oct1257005322704216
9205138766515076
1047211006888078
1114052091666530
125365986825866
132045c956abb87
14b9304c5774bc
1556d0eed40553
hex2af02b4b888e

47211006888078 has 128 divisors (see below), whose sum is σ = 106883356377600. Its totient is φ = 13778546718720.

The previous prime is 47211006888037. The next prime is 47211006888083. The reversal of 47211006888078 is 87088860011274.

It is a super-2 number, since 2×472110068880782 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57524626 + ... + 58339562.

It is an arithmetic number, because the mean of its divisors is an integer number (835026221700).

Almost surely, 247211006888078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47211006888078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53441678188800).

47211006888078 is an abundant number, since it is smaller than the sum of its proper divisors (59672349489522).

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

47211006888078 is a wasteful number, since it uses less digits than its factorization.

47211006888078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815282.

The product of its (nonzero) digits is 9633792, while the sum is 60.

It can be divided in two parts, 47211006 and 888078, that added together give a palindrome (48099084).

The spelling of 47211006888078 in words is "forty-seven trillion, two hundred eleven billion, six million, eight hundred eighty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 137 149 258 274 298 411 447 473 822 894 946 1419 1507 1639 2838 3014 3278 4521 4917 5891 6407 9042 9834 11782 12814 17673 19221 20413 35346 38442 40826 61239 64801 70477 122478 129602 140954 194403 211431 224543 388806 422862 449086 673629 814937 877759 1347258 1629874 1755518 2444811 2633277 4889622 5266554 8964307 9655349 17928614 19310698 26892921 28966047 35042291 53785842 57932094 70084582 105126873 111646369 121425613 210253746 223292738 242851226 334939107 364276839 385465201 669878214 728553678 770930402 1156395603 1228110059 1335681743 2312791206 2456220118 2671363486 3684330177 4007045229 4800793867 5221301359 7368660354 8014090458 9601587734 10442602718 14402381601 15663904077 16635308981 28804763202 31327808154 33270617962 49905926943 52808732537 57434314949 99811853886 105617465074 114868629898 158426197611 172302944847 182988398791 316852395222 344605889694 365976797582 548965196373 715318286183 1097930392746 1430636572366 2145954858549 4291909717098 7868501148013 15737002296026 23605503444039 47211006888078