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468060000200 = 235213213847929
BaseRepresentation
bin1101100111110101000…
…11001100111111001000
31122202010220110121102222
412303322203030333020
530132041330001300
6555005050113212
745546651233402
oct6637243147710
91582126417388
10468060000200
11170559738951
127686841b808
13351a3b88700
141892329bb72
15c296a49785
hex6cfa8ccfc8

468060000200 has 72 divisors (see below), whose sum is σ = 1178389603350. Its totient is φ = 172822141440.

The previous prime is 468060000181. The next prime is 468060000211. The reversal of 468060000200 is 2000060864.

It can be written as a sum of positive squares in 9 ways, for example, as 431060644 + 467628939556 = 20762^2 + 683834^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 468060000200.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6890165 + ... + 6957764.

Almost surely, 2468060000200 is an apocalyptic number.

468060000200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468060000200 is an abundant number, since it is smaller than the sum of its proper divisors (710329603150).

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

468060000200 is a wasteful number, since it uses less digits than its factorization.

468060000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13847971 (or 13847949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 468060000200 in words is "four hundred sixty-eight billion, sixty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 13847929 27695858 55391716 69239645 110783432 138479290 180023077 276958580 346198225 360046154 553917160 692396450 720092308 900115385 1384792900 1440184616 1800230770 2340300001 2769585800 3600461540 4500576925 4680600002 7200923080 9001153850 9361200004 11701500005 18002307700 18722400008 23403000010 36004615400 46806000020 58507500025 93612000040 117015000050 234030000100 468060000200