Search a number
-
+
29695023488628 = 22334361104824217
BaseRepresentation
bin1101100000001111010010…
…10100111001111001110100
310220010211001020120202112000
412300013221110321321310
512343010402003114003
6143053412214055300
76153252235665201
oct660075124717164
9126124036522460
1029695023488628
119509652680143
1233b711734a530
1313752c85b7074
1474936533cca8
153676807a31a3
hex1b01e9539e74

29695023488628 has 96 divisors (see below), whose sum is σ = 80068930677120. Its totient is φ = 9509652875520.

The previous prime is 29695023488617. The next prime is 29695023488629. The reversal of 29695023488628 is 82688432059692.

29695023488628 is a `hidden beast` number, since 2 + 9 + 6 + 9 + 502 + 34 + 8 + 86 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29695023488629) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52128825 + ... + 52695392.

It is an arithmetic number, because the mean of its divisors is an integer number (834051361220).

Almost surely, 229695023488628 is an apocalyptic number.

It is an amenable number.

29695023488628 is an abundant number, since it is smaller than the sum of its proper divisors (50373907188492).

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

29695023488628 is a wasteful number, since it uses less digits than its factorization.

29695023488628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104824334 (or 104824326 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 29695023488628 in words is "twenty-nine trillion, six hundred ninety-five billion, twenty-three million, four hundred eighty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 61 86 108 122 129 172 183 244 258 366 387 516 549 732 774 1098 1161 1548 1647 2196 2322 2623 3294 4644 5246 6588 7869 10492 15738 23607 31476 47214 70821 94428 141642 283284 104824217 209648434 314472651 419296868 628945302 943417953 1257890604 1886835906 2830253859 3773671812 4507441331 5660507718 6394277237 9014882662 11321015436 12788554474 13522323993 18029765324 19182831711 25577108948 27044647986 38365663422 40566971979 54089295972 57548495133 76731326844 81133943958 115096990266 121700915937 162267887916 172645485399 230193980532 243401831874 274953921191 345290970798 486803663748 549907842382 690581941596 824861763573 1099815684764 1649723527146 2474585290719 3299447054292 4949170581438 7423755872157 9898341162876 14847511744314 29695023488628