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106295750375650 = 252116714292018581
BaseRepresentation
bin11000001010110011101000…
…011100010011100011100010
3111221100202220121100211020121
4120022303220130103203202
5102413022144044010100
61014023332114430454
731250420533313533
oct3012635034234342
9457322817324217
10106295750375650
1130961857a65190
12bb089b389242a
134740852a72504
141c36a555b068a
15c44ee2cd351a
hex60ace87138e2

106295750375650 has 96 divisors (see below), whose sum is σ = 219056195666880. Its totient is φ = 38049425568000.

The previous prime is 106295750375641. The next prime is 106295750375663. The reversal of 106295750375650 is 56573057592601.

It is a happy number.

It is a super-3 number, since 3×1062957503756503 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51649360 + ... + 53667940.

It is an arithmetic number, because the mean of its divisors is an integer number (2281835371530).

Almost surely, 2106295750375650 is an apocalyptic number.

106295750375650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106295750375650 is an abundant number, since it is smaller than the sum of its proper divisors (112760445291230).

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

106295750375650 is a wasteful number, since it uses less digits than its factorization.

106295750375650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020100 (or 2020095 counting only the distinct ones).

The product of its (nonzero) digits is 59535000, while the sum is 61.

The spelling of 106295750375650 in words is "one hundred six trillion, two hundred ninety-five billion, seven hundred fifty million, three hundred seventy-five thousand, six hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 67 110 134 275 335 550 670 737 1429 1474 1675 2858 3350 3685 7145 7370 14290 15719 18425 31438 35725 36850 71450 78595 95743 157190 191486 392975 478715 785950 957430 1053173 2018581 2106346 2393575 4037162 4787150 5265865 10092905 10531730 20185810 22204391 26329325 44408782 50464525 52658650 100929050 111021955 135244927 222043910 270489854 555109775 676224635 1110219550 1352449270 1487694197 2884552249 2975388394 3381123175 5769104498 6762246350 7438470985 14422761245 14876941970 28845522490 31730074739 37192354925 63460149478 72113806225 74384709850 144227612450 158650373695 193265000683 317300747390 386530001366 793251868475 966325003415 1586503736950 1932650006830 2125915007513 4251830015026 4831625017075 9663250034150 10629575037565 21259150075130 53147875187825 106295750375650