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470040351696 = 24326121396311
BaseRepresentation
bin1101101011100001001…
…01101001001111010000
31122221020220211212222200
412311300211221033100
530200120312223241
6555533352003200
745650016032046
oct6656045511720
91587226755880
10470040351696
11171385585283
127711b690500
133542b243626
1418a702c0396
15c36082a4b6
hex6d709693d0

470040351696 has 180 divisors, whose sum is σ = 1347213460320. Its totient is φ = 152978630400.

The previous prime is 470040351689. The next prime is 470040351719. The reversal of 470040351696 is 696153040074.

470040351696 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 40 + 3 + 516 + 96 = 666.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 74476381 + ... + 74482691.

It is an arithmetic number, because the mean of its divisors is an integer number (7484519224).

Almost surely, 2470040351696 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 470040351696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673606730160).

470040351696 is an abundant number, since it is smaller than the sum of its proper divisors (877173108624).

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

470040351696 is a wasteful number, since it uses less digits than its factorization.

470040351696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 470040351696 in words is "four hundred seventy billion, forty million, three hundred fifty-one thousand, six hundred ninety-six".