Search a number
-
+
29706229615216 = 24721122915041921
BaseRepresentation
bin1101100000100100001010…
…10000111000101001110000
310220011212222012212222021111
412300102011100320221300
512343201324240141331
6143102504204203104
76154130030333200
oct660220520705160
9126155865788244
1029706229615216
1195133831a5990
1233b9324239494
1313763931324bb
14749b09748400
15367ad94abdb1
hex1b0485438a70

29706229615216 has 120 divisors (see below), whose sum is σ = 73358250240240. Its totient is φ = 11523314073600.

The previous prime is 29706229615169. The next prime is 29706229615267. The reversal of 29706229615216 is 61251692260792.

It is a happy number.

It is a super-2 number, since 2×297062296152162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5546065 + ... + 9495856.

It is an arithmetic number, because the mean of its divisors is an integer number (611318752002).

Almost surely, 229706229615216 is an apocalyptic number.

It is an amenable number.

29706229615216 is an abundant number, since it is smaller than the sum of its proper divisors (43652020625024).

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

29706229615216 is a wasteful number, since it uses less digits than its factorization.

29706229615216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042183 (or 15042170 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 29706229615216 in words is "twenty-nine trillion, seven hundred six billion, two hundred twenty-nine million, six hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 229 308 392 458 539 616 784 916 1078 1232 1603 1832 2156 2519 3206 3664 4312 5038 6412 8624 10076 11221 12824 17633 20152 22442 25648 35266 40304 44884 70532 89768 123431 141064 179536 246862 282128 493724 987448 1974896 15041921 30083842 60167684 105293447 120335368 165461131 210586894 240670736 330922262 421173788 661844524 737054129 842347576 1158227917 1323689048 1474108258 1684695152 2316455834 2647378096 2948216516 3444599909 4632911668 5896433032 6889199818 8107595419 9265823336 11792866064 13778399636 16215190838 18531646672 24112199363 27556799272 32430381676 37890598999 48224398726 55113598544 64860763352 75781197998 96448797452 129721526704 151562395996 168785395541 192897594904 265234192993 303124791992 337570791082 385795189808 530468385986 606249583984 675141582164 1060936771972 1350283164328 1856639350951 2121873543944 2700566328656 3713278701902 4243747087888 7426557403804 14853114807608 29706229615216