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106201894852404 = 223313312440076621
BaseRepresentation
bin11000001001011100001110…
…001101111001011100110100
3111221000210122122122020112000
4120021130032031321130310
5102410002440040234104
61013512251005055300
731240555646450451
oct3011341615713464
9457023578566460
10106201894852404
1130925a74a6a44a
12bab277b857530
134734a46245740
141c322b060a828
15c4284d21e639
hex60970e379734

106201894852404 has 96 divisors (see below), whose sum is σ = 306083211463680. Its totient is φ = 31623392995200.

The previous prime is 106201894852351. The next prime is 106201894852411. The reversal of 106201894852404 is 404258498102601.

106201894852404 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 189 + 4 + 8 + 52 + 404 = 666.

It is a super-2 number, since 2×1062018948524042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1219994787 + ... + 1220081834.

It is an arithmetic number, because the mean of its divisors is an integer number (3188366786080).

Almost surely, 2106201894852404 is an apocalyptic number.

It is an amenable number.

106201894852404 is an abundant number, since it is smaller than the sum of its proper divisors (199881316611276).

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

106201894852404 is a wasteful number, since it uses less digits than its factorization.

106201894852404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440076678 (or 2440076670 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 106201894852404 in words is "one hundred six trillion, two hundred one billion, eight hundred ninety-four million, eight hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 14508 21762 43524 2440076621 4880153242 7320229863 9760306484 14640459726 21960689589 29280919452 31720996073 43921379178 63441992146 65882068767 75642375251 87842758356 95162988219 126883984292 131764137534 151284750502 190325976438 226927125753 263528275068 285488964657 302569501004 380651952876 453854251506 570977929314 680781377259 856466893971 907708503012 983350878263 1141955858628 1361562754518 1712933787942 1966701756526 2042344131777 2723125509036 2950052634789 3425867575884 3933403513052 4084688263554 5900105269578 8169376527108 8850157904367 11800210539156 17700315808734 26550473713101 35400631617468 53100947426202 106201894852404