Search a number
-
+
106420286639196 = 22332963153848463
BaseRepresentation
bin11000001100100111100111…
…011000011100110001011100
3111221210200100202022111111000
4120030213213120130301130
5102422042221334423241
61014200445455030300
731262416624143225
oct3014474730346134
9457720322274430
10106420286639196
11309aa654489242
12bb28b6a80b390
13474c50b9bc29a
141c3caab18224c
15c4838113beb6
hex60c9e761cc5c

106420286639196 has 96 divisors (see below), whose sum is σ = 285870725683200. Its totient is φ = 34195927308480.

The previous prime is 106420286639171. The next prime is 106420286639267. The reversal of 106420286639196 is 691936682024601.

106420286639196 is a `hidden beast` number, since 1 + 0 + 64 + 20 + 2 + 86 + 6 + 391 + 96 = 666.

It is a super-2 number, since 2×1064202866391962 (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24947940 + ... + 28900523.

It is an arithmetic number, because the mean of its divisors is an integer number (2977820059200).

Almost surely, 2106420286639196 is an apocalyptic number.

It is an amenable number.

106420286639196 is an abundant number, since it is smaller than the sum of its proper divisors (179450439044004).

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

106420286639196 is a wasteful number, since it uses less digits than its factorization.

106420286639196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53849136 (or 53849128 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 106420286639196 in words is "one hundred six trillion, four hundred twenty billion, two hundred eighty-six million, six hundred thirty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 631 783 1044 1262 1566 1893 2524 3132 3786 5679 7572 11358 17037 18299 22716 34074 36598 54897 68148 73196 109794 164691 219588 329382 494073 658764 988146 1976292 53848463 107696926 161545389 215393852 323090778 484636167 646181556 969272334 1453908501 1561605427 1938544668 2907817002 3123210854 4684816281 5815634004 6246421708 9369632562 14054448843 18739265124 28108897686 33978380153 42163346529 56217795372 67956760306 84326693058 101935140459 135913520612 168653386116 203870280918 305805421377 407740561836 611610842754 917416264131 985373024437 1223221685508 1834832528262 1970746048874 2956119073311 3669665056524 3941492097748 5912238146622 8868357219933 11824476293244 17736714439866 26605071659799 35473428879732 53210143319598 106420286639196