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412204989060 = 2232529375034243
BaseRepresentation
bin1011111111110010101…
…01001111101010000100
31110101222021102001110200
411333321111033222010
523223143434122220
6513210411250500
741531552411334
oct5777125175204
91411867361420
10412204989060
111498a6a74317
1267a7a749a30
132cb420b5c67
1415d451010c4
15aac815b890
hex5ff954fa84

412204989060 has 288 divisors, whose sum is σ = 1331384221440. Its totient is φ = 103032953856.

The previous prime is 412204989029. The next prime is 412204989121. The reversal of 412204989060 is 60989402214.

412204989060 is a `hidden beast` number, since 4 + 12 + 2 + 0 + 498 + 90 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 412204988997 and 412204989015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97147299 + ... + 97151541.

It is an arithmetic number, because the mean of its divisors is an integer number (4622861880).

Almost surely, 2412204989060 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 412204989060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665692110720).

412204989060 is an abundant number, since it is smaller than the sum of its proper divisors (919179232380).

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

412204989060 is a wasteful number, since it uses less digits than its factorization.

412204989060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 412204989060 in words is "four hundred twelve billion, two hundred four million, nine hundred eighty-nine thousand, sixty".