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461010263980 = 2257411076411171
BaseRepresentation
bin1101011010101100101…
…10100101111110101100
31122001221121010220101111
412231112112211332230
530023122111421410
6551441333521404
745210156405520
oct6552626457654
91561847126344
10461010263980
11168571303772
127541b4a3264
133461c48a466
1418454cb5d80
15bed2ba8b8a
hex6b565a5fac

461010263980 has 192 divisors, whose sum is σ = 1146766408704. Its totient is φ = 152395776000.

The previous prime is 461010263969. The next prime is 461010263981. The reversal of 461010263980 is 89362010164.

It is not an unprimeable number, because it can be changed into a prime (461010263981) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 393688795 + ... + 393689965.

It is an arithmetic number, because the mean of its divisors is an integer number (5972741712).

Almost surely, 2461010263980 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 461010263980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573383204352).

461010263980 is an abundant number, since it is smaller than the sum of its proper divisors (685756144724).

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

461010263980 is a wasteful number, since it uses less digits than its factorization.

461010263980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 461010263980 in words is "four hundred sixty-one billion, ten million, two hundred sixty-three thousand, nine hundred eighty".