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30435200000 = 210559511
BaseRepresentation
bin11100010110000101…
…000100110000000000
32220120002012100112122
4130112011010300000
5444312402400000
621552015543412
72125132634342
oct342605046000
986502170478
1030435200000
11119a8971257
125a9482ab68
132b405ac4aa
14168a173292
15bd1e42085
hex716144c00

30435200000 has 132 divisors (see below), whose sum is σ = 76053975984. Its totient is φ = 12172800000.

The previous prime is 30435199967. The next prime is 30435200171. The reversal of 30435200000 is 253403.

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 11 ways as a sum of consecutive naturals, for example, 3195245 + ... + 3204755.

Almost surely, 230435200000 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 30435200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38026987992).

30435200000 is an abundant number, since it is smaller than the sum of its proper divisors (45618775984).

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

30435200000 is an frugal number, since it uses more digits than its factorization.

30435200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

Adding to 30435200000 its reverse (253403), we get a palindrome (30435453403).

The spelling of 30435200000 in words is "thirty billion, four hundred thirty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 9511 10000 12500 12800 16000 19022 20000 25000 25600 32000 38044 40000 47555 50000 64000 76088 80000 95110 100000 128000 152176 160000 190220 200000 237775 304352 320000 380440 400000 475550 608704 640000 760880 800000 951100 1188875 1217408 1521760 1600000 1902200 2377750 2434816 3043520 3200000 3804400 4755500 4869632 5944375 6087040 7608800 9511000 9739264 11888750 12174080 15217600 19022000 23777500 24348160 29721875 30435200 38044000 47555000 48696320 59443750 60870400 76088000 95110000 118887500 121740800 152176000 190220000 237775000 243481600 304352000 380440000 475550000 608704000 760880000 951100000 1217408000 1521760000 1902200000 3043520000 3804400000 6087040000 7608800000 15217600000 30435200000