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153214515012150 = 232522970019167677
BaseRepresentation
bin100010110101100100001000…
…101111011110001000110110
3202002111011102222120202210200
4202311210020233132020312
5130040231311320342100
61301505435420501330
744162245340423244
oct4265441057361066
9662434388522720
10153214515012150
1144900a02480649
1215225bbb0aa846
1367650b3906c67
1429b989d04d794
1512aa6db55be00
hex8b5908bde236

153214515012150 has 144 divisors (see below), whose sum is σ = 425839307821200. Its totient is φ = 39447536244480.

The previous prime is 153214515012113. The next prime is 153214515012199. The reversal of 153214515012150 is 51210515412351.

153214515012150 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 1 + 451 + 50 + 1 + 2 + 150 = 666.

It is a super-2 number, since 2×1532145150121502 (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 71 ways as a sum of consecutive naturals, for example, 913664112 + ... + 913831788.

It is an arithmetic number, because the mean of its divisors is an integer number (2957217415425).

Almost surely, 2153214515012150 is an apocalyptic number.

153214515012150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153214515012150 is an abundant number, since it is smaller than the sum of its proper divisors (272624792809050).

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

153214515012150 is a wasteful number, since it uses less digits than its factorization.

153214515012150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237743 (or 237735 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 153214515012150 in words is "one hundred fifty-three trillion, two hundred fourteen billion, five hundred fifteen million, twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 70019 140038 167677 210057 335354 350095 420114 503031 630171 700190 838385 1006062 1050285 1260342 1509093 1676770 1750475 2030551 2100570 2515155 3018186 3150855 3500950 4061102 4191925 4862633 5030310 5251425 6091653 6301710 7545465 8383850 9725266 10152755 10502850 12183306 12575775 14587899 15090930 15754275 18274959 20305510 24313165 25151550 29175798 30458265 31508550 36549918 37727325 43763697 48626330 50763775 60916530 72939495 75454650 87527394 91374795 101527550 121565825 145878990 152291325 182749590 218818485 243131650 304582650 364697475 437636970 456873975 729394950 913747950 1094092425 2188184850 11740575863 23481151726 35221727589 58702879315 70443455178 105665182767 117405758630 176108637945 211330365534 293514396575 340476700027 352217275890 528325913835 587028793150 680953400054 880543189725 1021430100081 1056651827670 1702383500135 1761086379450 2042860200162 2641629569175 3064290300243 3404767000270 5107150500405 5283259138350 6128580600486 8511917500675 10214301000810 15321451501215 17023835001350 25535752502025 30642903002430 51071505004050 76607257506075 153214515012150