Search a number
-
+
52642240030656 = 263356695373833
BaseRepresentation
bin10111111100000101110100…
…00001000110011111000000
320220101112211012221001111000
423332002322001012133000
523344442301421440111
6303543302231052000
714042163532210503
oct1376027201063700
9226345735831430
1052642240030656
11158564a3131711
125aa2503811000
13234b1acaa3213
14cddc8020713a
1561452ae69c56
hex2fe0ba0467c0

52642240030656 has 112 divisors (see below), whose sum is σ = 154785765002400. Its totient is φ = 17544314750976.

The previous prime is 52642240030637. The next prime is 52642240030657. The reversal of 52642240030656 is 65603004224625.

52642240030656 is a `hidden beast` number, since 52 + 6 + 4 + 2 + 240 + 0 + 306 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52642240030657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7109116 + ... + 12482948.

It is an arithmetic number, because the mean of its divisors is an integer number (1382015758950).

Almost surely, 252642240030656 is an apocalyptic number.

It is an amenable number.

52642240030656 is an abundant number, since it is smaller than the sum of its proper divisors (102143524971744).

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

52642240030656 is a wasteful number, since it uses less digits than its factorization.

52642240030656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379523 (or 5379507 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 52642240030656 in words is "fifty-two trillion, six hundred forty-two billion, two hundred forty million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 5669 11338 17007 22676 34014 45352 51021 68028 90704 102042 136056 153063 181408 204084 272112 306126 362816 408168 544224 612252 816336 1088448 1224504 1632672 2449008 3265344 4898016 5373833 9796032 10747666 16121499 21495332 32242998 42990664 48364497 64485996 85981328 96728994 128971992 145093491 171962656 193457988 257943984 290186982 343925312 386915976 515887968 580373964 773831952 1031775936 1160747928 1547663904 2321495856 3095327808 4642991712 9285983424 30464259277 60928518554 91392777831 121857037108 182785555662 243714074216 274178333493 365571111324 487428148432 548356666986 731142222648 822535000479 974856296864 1096713333972 1462284445296 1645070000958 1949712593728 2193426667944 2924568890592 3290140001916 4386853335888 5849137781184 6580280003832 8773706671776 13160560007664 17547413343552 26321120015328 52642240030656