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464425704540 = 2233573143611511
BaseRepresentation
bin1101100001000011110…
…11011101110001011100
31122101202121220021001000
412300201323131301130
530102120440021130
6553204302350300
745360621232260
oct6604173356134
91571677807030
10464425704540
11169a64225816
127601328b390
1334a44c5b2c5
141869a7420a0
15c132961260
hex6c21eddc5c

464425704540 has 768 divisors, whose sum is σ = 1773966458880. Its totient is φ = 98630784000.

The previous prime is 464425704529. The next prime is 464425704559. The reversal of 464425704540 is 45407524464.

It is a happy number.

464425704540 is a `hidden beast` number, since 4 + 64 + 42 + 5 + 7 + 0 + 4 + 540 = 666.

It is a super-2 number, since 2×4644257045402 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 307362385 + ... + 307363895.

It is an arithmetic number, because the mean of its divisors is an integer number (2309852160).

Almost surely, 2464425704540 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 464425704540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886983229440).

464425704540 is an abundant number, since it is smaller than the sum of its proper divisors (1309540754340).

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

464425704540 is a wasteful number, since it uses less digits than its factorization.

464425704540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 464425704540 in words is "four hundred sixty-four billion, four hundred twenty-five million, seven hundred four thousand, five hundred forty".