Search a number
-
+
152020253200000 = 2755380050633
BaseRepresentation
bin100010100100001011111001…
…001100001100111010000000
3201221020222211211021210202011
4202210023321030030322000
5124411144434304400000
61255153050141302304
744010046406465653
oct4244137114147200
9657228754253664
10152020253200000
1144490477853a69
1215072663264994
1366a95aa09aca3
142977b68a6189a
1512895e04e02ba
hex8a42f930ce80

152020253200000 has 96 divisors (see below), whose sum is σ = 378541832983020. Its totient is φ = 60808101120000.

The previous prime is 152020253199961. The next prime is 152020253200103. The reversal of 152020253200000 is 2352020251.

It can be written as a sum of positive squares in 6 ways, for example, as 10164721262656 + 141855531937344 = 3188216^2 + 11910312^2 .

It is a super-2 number, since 2×1520202532000002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189625317 + ... + 190425316.

Almost surely, 2152020253200000 is an apocalyptic number.

152020253200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152020253200000 is an abundant number, since it is smaller than the sum of its proper divisors (226521579783020).

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

152020253200000 is an frugal number, since it uses more digits than its factorization.

152020253200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380050672 (or 380050640 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 152020253200000 in words is "one hundred fifty-two trillion, twenty billion, two hundred fifty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 380050633 760101266 1520202532 1900253165 3040405064 3800506330 6080810128 7601012660 9501265825 12161620256 15202025320 19002531650 24323240512 30404050640 38005063300 47506329125 48646481024 60808101280 76010126600 95012658250 121616202560 152020253200 190025316500 237531645625 243232405120 304040506400 380050633000 475063291250 608081012800 760101266000 950126582500 1187658228125 1216162025600 1520202532000 1900253165000 2375316456250 3040405064000 3800506330000 4750632912500 6080810128000 7601012660000 9501265825000 15202025320000 19002531650000 30404050640000 38005063300000 76010126600000 152020253200000