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470331216440 = 23558392013749
BaseRepresentation
bin1101101100000011110…
…11001101001000111000
31122222000012011100101222
412312001323031020320
530201214242411230
61000022302131212
745660150243161
oct6660173151070
91588005140358
10470331216440
1117151478a268
12771a0b80b08
1335476593347
1418a9ab96768
15c37b1326e5
hex6d81ecd238

470331216440 has 32 divisors (see below), whose sum is σ = 1058427000000. Its totient is φ = 188100173184.

The previous prime is 470331216437. The next prime is 470331216449. The reversal of 470331216440 is 44612133074.

It is a super-2 number, since 2×4703312164402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 470331216440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470331216449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 773315 + ... + 1240434.

It is an arithmetic number, because the mean of its divisors is an integer number (33075843750).

Almost surely, 2470331216440 is an apocalyptic number.

470331216440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470331216440 is an abundant number, since it is smaller than the sum of its proper divisors (588095783560).

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

470331216440 is a wasteful number, since it uses less digits than its factorization.

470331216440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019599 (or 2019595 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 470331216440 in words is "four hundred seventy billion, three hundred thirty-one million, two hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5839 11678 23356 29195 46712 58390 116780 233560 2013749 4027498 8054996 10068745 16109992 20137490 40274980 80549960 11758280411 23516560822 47033121644 58791402055 94066243288 117582804110 235165608220 470331216440