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20401768141875 = 3254191011890037
BaseRepresentation
bin1001010001110001010000…
…01001001001010000110011
32200020101112022002210022200
410220320220021021100303
510133230310121020000
6111220235355434243
74203656555622321
oct450705011112063
980211468083280
1020401768141875
11655638327460a
122355bbaa55983
13b4cb56039473
145076451a2d11
15255a6bae3500
hex128e28249433

20401768141875 has 120 divisors (see below), whose sum is σ = 39146693860560. Its totient is φ = 10206194400000.

The previous prime is 20401768141841. The next prime is 20401768141883. The reversal of 20401768141875 is 57814186710402.

It is a happy number.

20401768141875 is a `hidden beast` number, since 20 + 401 + 7 + 6 + 8 + 141 + 8 + 75 = 666.

It is not a de Polignac number, because 20401768141875 - 27 = 20401768141747 is a prime.

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 119 ways as a sum of consecutive naturals, for example, 9849357 + ... + 11739393.

It is an arithmetic number, because the mean of its divisors is an integer number (326222448838).

Almost surely, 220401768141875 is an apocalyptic number.

20401768141875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20401768141875 is a deficient number, since it is larger than the sum of its proper divisors (18744925718685).

20401768141875 is a wasteful number, since it uses less digits than its factorization.

20401768141875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890183 (or 1890165 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 20401768141875 in words is "twenty trillion, four hundred one billion, seven hundred sixty-eight million, one hundred forty-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 101 125 171 225 285 303 375 475 505 625 855 909 1125 1425 1515 1875 1919 2375 2525 4275 4545 5625 5757 7125 7575 9595 11875 12625 17271 21375 22725 28785 35625 37875 47975 63125 86355 106875 113625 143925 189375 239875 431775 568125 719625 1199375 1890037 2158875 3598125 5670111 9450185 10794375 17010333 28350555 35910703 47250925 85051665 107732109 141752775 179553515 190893737 236254625 323196327 425258325 538660545 572681211 708763875 897767575 954468685 1181273125 1615981635 1718043633 2126291625 2693302725 2863406055 3543819375 3626981003 4488837875 4772343425 8079908175 8590218165 10631458125 10880943009 13466513625 14317030275 18134905015 22444189375 23861717125 32642829027 40399540875 42951090825 54404715045 67332568125 71585151375 90674525075 119308585625 163214145135 201997704375 214755454125 272023575225 357925756875 453372625375 816070725675 1073777270625 1360117876125 2266863126875 4080353628375 6800589380625 20401768141875