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5728214190150 = 2325238982339761
BaseRepresentation
bin101001101011011010000…
…1011000000100001000110
3202021121112002120212221200
41103112310023000201012
51222322340313041100
620103301045523330
71130564326150614
oct123266413004106
922247462525850
105728214190150
11190935a637881
127861bb413546
1332722593407a
1415b365c746b4
159e00d74de00
hex535b42c0846

5728214190150 has 144 divisors (see below), whose sum is σ = 15448500830880. Its totient is φ = 1521707443200.

The previous prime is 5728214190137. The next prime is 5728214190187. The reversal of 5728214190150 is 510914128275.

5728214190150 is a `hidden beast` number, since 5 + 7 + 2 + 82 + 1 + 419 + 0 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5728214190096 and 5728214190105.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 144046270 + ... + 144086030.

It is an arithmetic number, because the mean of its divisors is an integer number (107281255770).

Almost surely, 25728214190150 is an apocalyptic number.

5728214190150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5728214190150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724250415440).

5728214190150 is an abundant number, since it is smaller than the sum of its proper divisors (9720286640730).

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

5728214190150 is a wasteful number, since it uses less digits than its factorization.

5728214190150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40991 (or 40983 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 5728214190150 in words is "five trillion, seven hundred twenty-eight billion, two hundred fourteen million, one hundred ninety thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 389 450 778 823 1167 1646 1945 2334 2469 3501 3890 4115 4938 5835 7002 7407 8230 9725 11670 12345 14814 17505 19450 20575 24690 29175 35010 37035 39761 41150 58350 61725 74070 79522 87525 119283 123450 175050 185175 198805 238566 320147 357849 370350 397610 596415 640294 715698 960441 994025 1192830 1600735 1789245 1920882 1988050 2881323 2982075 3201470 3578490 4802205 5762646 5964150 8003675 8946225 9604410 14406615 15467029 16007350 17892450 24011025 28813230 30934058 32723303 46401087 48022050 65446606 72033075 77335145 92802174 98169909 139203261 144066150 154670290 163616515 196339818 232005435 278406522 294509727 327233030 386675725 464010870 490849545 589019454 696016305 773351450 818082575 981699090 1160027175 1392032610 1472548635 1636165150 2320054350 2454247725 2945097270 3480081525 4908495450 6960163050 7362743175 12729364867 14725486350 25458729734 38188094601 63646824335 76376189202 114564283803 127293648670 190940473005 229128567606 318234121675 381880946010 572821419015 636468243350 954702365025 1145642838030 1909404730050 2864107095075 5728214190150