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47072138447124 = 22327259452286199
BaseRepresentation
bin10101011001111110101100…
…00101110100100100010100
320011200001102021002210112200
422230333112011310210110
522132212214420301444
6244040350351044500
712625564321020300
oct1254772605644424
9204601367083480
1047072138447124
1113aa91aaa9245a
125342a8bb10730
132035b6439a35b
14b8a437340d00
155696c363a969
hex2acfd6174914

47072138447124 has 108 divisors (see below), whose sum is σ = 140760511164000. Its totient is φ = 13221230139936.

The previous prime is 47072138447111. The next prime is 47072138447137. The reversal of 47072138447124 is 42174483127074.

47072138447124 is a `hidden beast` number, since 4 + 7 + 0 + 72 + 1 + 3 + 8 + 447 + 124 = 666.

47072138447124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47072138447111) and next prime (47072138447137).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226039024 + ... + 226247175.

Almost surely, 247072138447124 is an apocalyptic number.

It is an amenable number.

47072138447124 is an abundant number, since it is smaller than the sum of its proper divisors (93688372716876).

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

47072138447124 is a wasteful number, since it uses less digits than its factorization.

47072138447124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452286282 (or 452286270 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 47072138447124 in words is "forty-seven trillion, seventy-two billion, one hundred thirty-eight million, four hundred forty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1652 1764 2124 2478 2891 3717 4956 5782 7434 8673 11564 14868 17346 26019 34692 52038 104076 452286199 904572398 1356858597 1809144796 2713717194 3166003393 4070575791 5427434388 6332006786 8141151582 9498010179 12664013572 16282303164 18996020358 22162023751 26684885741 28494030537 37992040716 44324047502 53369771482 56988061074 66486071253 80054657223 88648095004 106739542964 113976122148 132972142506 160109314446 186794200187 199458213759 240163971669 265944285012 320218628892 373588400374 398916427518 480327943338 560382600561 747176800748 797832855036 960655886676 1120765201122 1307559401309 1681147801683 2241530402244 2615118802618 3362295603366 3922678203927 5230237605236 6724591206732 7845356407854 11768034611781 15690712815708 23536069223562 47072138447124