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492481132900 = 2252701772
BaseRepresentation
bin1110010101010100010…
…10011011100101100100
31202002011212010200121021
413022222022123211210
531032100132223100
61014124231500524
750403066363121
oct7125212334544
91662155120537
10492481132900
1117a950840349
127b542b27744
13375964b51a3
1419b9c7dd748
15cc259c5a1a
hex72aa29b964

492481132900 has 27 divisors (see below), whose sum is σ = 1068699287019. Its totient is φ = 196989646080.

The previous prime is 492481132813. The next prime is 492481132931. The reversal of 492481132900 is 9231184294.

The square root of 492481132900 is 701770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 223999637796 + 268481495104 = 473286^2 + 518152^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 6982612 + ... + 7052788.

Almost surely, 2492481132900 is an apocalyptic number.

492481132900 is the 701770-th square number.

It is an amenable number.

492481132900 is an abundant number, since it is smaller than the sum of its proper divisors (576218154119).

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

492481132900 is an frugal number, since it uses more digits than its factorization.

492481132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140368 (or 70184 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 492481132900 in words is "four hundred ninety-two billion, four hundred eighty-one million, one hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 70177 140354 280708 350885 701770 1403540 1754425 3508850 7017700 4924811329 9849622658 19699245316 24624056645 49248113290 98496226580 123120283225 246240566450 492481132900