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3828050127225 = 3252293171266549
BaseRepresentation
bin110111101101001001100…
…100010110100101111001
3111112221212101200010012200
4313231021210112211321
51000204321313032400
612050325411300413
7543365436130512
oct67551144264571
914487771603180
103828050127225
1112465155551a5
12519a9a2aa709
13219ca2bc859c
14d33c8739a09
156989a39eb00
hex37b49916979

3828050127225 has 144 divisors (see below), whose sum is σ = 7424846208000. Its totient is φ = 1880762688000.

The previous prime is 3828050127217. The next prime is 3828050127229. The reversal of 3828050127225 is 5227210508283.

3828050127225 is a `hidden beast` number, since 38 + 28 + 0 + 501 + 2 + 72 + 25 = 666.

It is not a de Polignac number, because 3828050127225 - 23 = 3828050127217 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3828050127229) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 14228251 + ... + 14494799.

It is an arithmetic number, because the mean of its divisors is an integer number (51561432000).

Almost surely, 23828050127225 is an apocalyptic number.

It is an amenable number.

3828050127225 is a deficient number, since it is larger than the sum of its proper divisors (3596796080775).

3828050127225 is a wasteful number, since it uses less digits than its factorization.

3828050127225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266696 (or 266688 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 3828050127225 in words is "three trillion, eight hundred twenty-eight billion, fifty million, one hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 31 45 71 75 87 93 145 155 213 225 261 279 355 435 465 639 725 775 899 1065 1305 1395 1775 2059 2175 2201 2325 2697 3195 4495 5325 6177 6525 6603 6975 8091 10295 11005 13485 15975 18531 19809 22475 30885 33015 40455 51475 55025 63829 67425 92655 99045 154425 165075 191487 202275 266549 319145 463275 495225 574461 799647 957435 1332745 1595725 2398941 2872305 3998235 4787175 6663725 7729921 8263019 11994705 14361525 18924979 19991175 23189763 24789057 38649605 41315095 56774937 59973525 69569289 74367171 94624895 115948815 123945285 170324811 193248025 206575475 239627551 283874685 347846445 371835855 473124475 548824391 579744075 586674349 619726425 718882653 851624055 1198137755 1419373425 1646473173 1739232225 1760023047 1859179275 2156647959 2744121955 2933371745 3594413265 4258120275 4939419519 5280069141 5990688775 8232365865 8800115235 10783239795 13720609775 14666858725 17013556121 17972066325 24697097595 26400345705 41161829325 44000576175 51040668363 53916198975 85067780605 123485487975 132001728525 153122005089 255203341815 425338903025 765610025445 1276016709075 3828050127225