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19472000000 = 210561217
BaseRepresentation
bin10010001000100111…
…110010010000000000
31212021001000002102012
4102020213302100000
5304334313000000
612540104312052
71256351161205
oct221047622000
955231002365
1019472000000
118292488892
123935172628
131ab419acbb
14d2a121cac
1578e721735
hex4889f2400

19472000000 has 154 divisors (see below), whose sum is σ = 48695587626. Its totient is φ = 7782400000.

The previous prime is 19471999997. The next prime is 19472000011. The reversal of 19472000000 is 27491.

It can be written as a sum of positive squares in 7 ways, for example, as 19207742464 + 264257536 = 138592^2 + 16256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19472000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999392 + ... + 16000608.

Almost surely, 219472000000 is an apocalyptic number.

19472000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19472000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24347793813).

19472000000 is an abundant number, since it is smaller than the sum of its proper divisors (29223587626).

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

19472000000 is an frugal number, since it uses more digits than its factorization.

19472000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 19472000000 its reverse (27491), we get a palindrome (19472027491).

The spelling of 19472000000 in words is "nineteen billion, four hundred seventy-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1217 1250 1280 1600 2000 2434 2500 2560 3125 3200 4000 4868 5000 5120 6085 6250 6400 8000 9736 10000 12170 12500 12800 15625 16000 19472 20000 24340 25000 25600 30425 31250 32000 38944 40000 48680 50000 60850 62500 64000 77888 80000 97360 100000 121700 125000 128000 152125 155776 160000 194720 200000 243400 250000 304250 311552 320000 389440 400000 486800 500000 608500 623104 640000 760625 778880 800000 973600 1000000 1217000 1246208 1521250 1557760 1600000 1947200 2000000 2434000 3042500 3115520 3200000 3803125 3894400 4000000 4868000 6085000 6231040 7606250 7788800 8000000 9736000 12170000 15212500 15577600 16000000 19015625 19472000 24340000 30425000 31155200 38031250 38944000 48680000 60850000 76062500 77888000 97360000 121700000 152125000 155776000 194720000 243400000 304250000 389440000 486800000 608500000 778880000 973600000 1217000000 1947200000 2434000000 3894400000 4868000000 9736000000 19472000000