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530065387152 = 24337367477619
BaseRepresentation
bin1111011011010100101…
…10111110111010010000
31212200012011112121221000
413231222112332322100
532141033214342102
61043301512502000
753203341310320
oct7555226767220
91780164477830
10530065387152
111948881018a4
12868919aa900
133aca5c27ba2
141b92620d280
15dbc537601c
hex7b6a5bee90

530065387152 has 160 divisors (see below), whose sum is σ = 1743580467200. Its totient is φ = 151034274432.

The previous prime is 530065387139. The next prime is 530065387153. The reversal of 530065387152 is 251783560035.

530065387152 is a `hidden beast` number, since 530 + 0 + 65 + 3 + 8 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×5300653871522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 530065387098 and 530065387107.

It is not an unprimeable number, because it can be changed into a prime (530065387153) 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 31 ways as a sum of consecutive naturals, for example, 870999 + ... + 1348617.

It is an arithmetic number, because the mean of its divisors is an integer number (10897377920).

Almost surely, 2530065387152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530065387152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871790233600).

530065387152 is an abundant number, since it is smaller than the sum of its proper divisors (1213515080048).

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

530065387152 is a wasteful number, since it uses less digits than its factorization.

530065387152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478010 (or 477998 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 530065387152 in words is "five hundred thirty billion, sixty-five million, three hundred eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 367 378 432 504 734 756 1008 1101 1468 1512 2202 2569 2936 3024 3303 4404 5138 5872 6606 7707 8808 9909 10276 13212 15414 17616 19818 20552 23121 26424 30828 39636 41104 46242 52848 61656 69363 79272 92484 123312 138726 158544 184968 277452 369936 477619 554904 955238 1109808 1432857 1910476 2865714 3343333 3820952 4298571 5731428 6686666 7641904 8597142 10029999 11462856 12895713 13373332 17194284 20059998 22925712 25791426 26746664 30089997 34388568 40119996 51582852 53493328 60179994 68777136 80239992 90269991 103165704 120359988 160479984 175286173 180539982 206331408 240719976 350572346 361079964 481439952 525858519 701144692 722159928 1051717038 1227003211 1402289384 1444319856 1577575557 2103434076 2454006422 2804578768 3155151114 3681009633 4206868152 4732726671 4908012844 6310302228 7362019266 8413736304 9465453342 9816025688 11043028899 12620604456 14724038532 18930906684 19632051376 22086057798 25241208912 29448077064 33129086697 37861813368 44172115596 58896154128 66258173394 75723626736 88344231192 132516346788 176688462384 265032693576 530065387152